# zbMATH — the first resource for mathematics

## Yau, Shing-Tung

Compute Distance To:
 Author ID: yau.shing-tung Published as: Yau, Shing-Tung; Yau, S.-T.; Yau, Shing Tung; Yau, S. T.; Yau, Shingtung; Yau, Shing-tung; Yau, Sing-Tung Homepage: http://doctoryau.com External Links: MacTutor · MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef Awards: Fields Medal (1982) · Wolf Prize (2010)
 Documents Indexed: 666 Publications since 1970, including 133 Books Biographic References: 19 Publications
all top 5

#### Co-Authors

 119 single-authored 43 Lian, Bong H. 38 Liu, Kefeng 34 Ji, Lizhen 24 Jerison, David S. 23 Gu, Xianfeng 22 Wang, Mu-Tao 21 Schoen, Richard Melvin 19 Smoller, Joel Alan 18 Chen, PoNing 17 Chung Graham, Fan-Rong King 16 Finster, Felix 16 Grigor’yan, Alexander Asaturovich 16 Stanley, Richard Peter 15 Cheng, Shiu-Yuen 14 Jost, Jürgen 14 Lin, Yong 14 Mazur, Barry 14 Schmid, Wilfried 14 Zeng, Wei 13 Yang, Lo 13 Yau, Stephen Shing-Toung 12 Hosono, Shinobu 12 Lui, Lok Ming 12 Mrowka, Tomasz S. 11 Li, Peter 11 Lin, Wen-Wei 11 Tseng, Li-Sheng 10 Cao, Huai-Dong 10 Gu, Xianfeng David 10 Luo, Feng 10 Sun, Xiaofeng 9 Huang, An 9 Meeks, William Hamilton III 9 Muranov, Yuriĭ Vladimirovich 9 Zaslow, Eric 8 Fu, Jixiang 8 Kamran, Niky 8 Li, Jun 8 Singer, Isadore M. 8 Wang, Yalin 7 Gu, David Xianfeng 7 Kisin, Mark 7 Klemm, Albrecht 7 Xie, Dan 7 Yau, Horng-Tzer 7 Yueh, Mei-Heng 7 Zheng, Fangyang 6 Bieri, Lydia 6 Lin, Hai 6 Liu, Chien-Hao 6 Lusztig, George 6 Nadis, Steve 6 Papadopoulos, Athanase 6 Siu, Yum-Tong 6 Wu, Damin 5 Chan, Tony Fan-Cheong 5 Collins, Tristan Clifford 5 Dai, Junfei 5 Jaffe, Arthur Michael 5 Miller, Warner Allen 5 Oguiso, Keiji 5 Poon, Yat Sun 5 Seidel, Paul 5 Tian, Gang 5 Xu, Hao 4 Alsing, Paul M. 4 Becker, Melanie 4 Bott, Raoul Harry 4 Esole, Mboyo 4 Greene, Robert Everist 4 Hübsch, Tristan 4 Jin, Miao 4 Leung, Naichung Conan 4 Lippner, Gábor 4 Liu, Chiu-Chu Melissa 4 Luo, Wei 4 Roan, Shih-shyr 4 Sheshmani, Artan 4 Theisen, Stefan J. 4 Uhlenbeck, Karen Keskulla 4 Wang, Juven 4 Wang, Ye-Kai 3 Alim, Murad 3 Au, Thomas Kwok-Keung 3 Bauer, Frank 3 Chen, Bingyi 3 de Jong, Aise Johan 3 Gao, Peng 3 Greene, Brian R. 3 Haghighat, Babak 3 Huang, Weiqiang 3 Jacob, Adam 3 Lawson, Herbert Blaine jun. 3 Li, Si 3 Li, Tiexiang 3 Lin, Chang-Shou 3 Martelli, Dario 3 Movasati, Hossein 3 Ng, Kung-Fu 3 Ray, Shannon ...and 211 more Co-Authors
all top 5

#### Serials

 45 Communications in Mathematical Physics 25 Advanced Lectures in Mathematics (ALM) 21 Communications in Analysis and Geometry 21 Advances in Theoretical and Mathematical Physics 16 Pure and Applied Mathematics Quarterly 16 Surveys in Differential Geometry 15 Journal of Differential Geometry 15 ICCM Notices 14 Communications in Information and Systems 14 AMS/IP Studies in Advanced Mathematics 12 Communications on Pure and Applied Mathematics 12 The Asian Journal of Mathematics 11 American Journal of Mathematics 11 Inventiones Mathematicae 11 Mathematische Annalen 10 Nuclear Physics. B 10 Mathematical Research Letters 7 Proceedings of the National Academy of Sciences of the United States of America 7 Annals of Mathematics. Second Series 6 Advances in Mathematics 6 Topology 6 Notices of the American Mathematical Society 5 Commentarii Mathematici Helvetici 5 Journal of Scientific Computing 5 Surveys in Differential Geometry. Supplement to the Journal of Differential Geometry 5 Communications in Number Theory and Physics 4 Acta Mathematica 4 Journal of the American Mathematical Society 4 Science in China. Series A 4 Methods and Applications of Analysis 4 Journal of High Energy Physics 4 Proceedings of Symposia in Pure Mathematics 3 Classical and Quantum Gravity 3 Journal of Mathematical Physics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Mathematische Zeitschrift 3 Homology, Homotopy and Applications 3 Annales Henri Poincaré 2 Modern Physics Letters A 2 International Journal of Modern Physics A 2 Physics Letters. B 2 Compositio Mathematica 2 Journal of Combinatorial Theory. Series A 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Control and Optimization 2 Computer Aided Geometric Design 2 Annals of Physics 2 Bulletin of the American Mathematical Society. New Series 2 Nuclear Physics, B, Proceedings Supplements 2 Journal of Algebraic Geometry 2 International Journal of Modern Physics D 2 Turkish Journal of Mathematics 2 Physical Review Letters 2 SIAM Journal on Imaging Sciences 2 Geometry, Imaging and Computing 2 Harvard University Center of Mathematical Sciences and Applications Series in Mathematics (CSMA) 1 International Journal of Modern Physics B 1 Discrete Mathematics 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Physics Letters. A 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Graph Theory 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 The Mathematics Student 1 Michigan Mathematical Journal 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 Topology and its Applications 1 Advances in Applied Mathematics 1 Annals of Global Analysis and Geometry 1 SIAM Journal on Matrix Analysis and Applications 1 Forum Mathematicum 1 CAD. Computer-Aided Design 1 Journal of the Ramanujan Mathematical Society 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Random Structures & Algorithms 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Acta Mathematica Sinica. New Series 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 Combinatorics, Probability and Computing 1 Journal of Mathematical Sciences (New York) 1 International Journal of Computer Vision 1 ETNA. Electronic Transactions on Numerical Analysis 1 The Electronic Journal of Combinatorics 1 Discrete and Continuous Dynamical Systems ...and 23 more Serials
all top 5

#### Fields

 310 Differential geometry (53-XX) 188 Algebraic geometry (14-XX) 143 Several complex variables and analytic spaces (32-XX) 126 General and overarching topics; collections (00-XX) 118 Quantum theory (81-XX) 105 Global analysis, analysis on manifolds (58-XX) 88 Relativity and gravitational theory (83-XX) 70 Partial differential equations (35-XX) 50 Manifolds and cell complexes (57-XX) 47 History and biography (01-XX) 41 Numerical analysis (65-XX) 36 Combinatorics (05-XX) 27 Functions of a complex variable (30-XX) 27 Computer science (68-XX) 25 Number theory (11-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 22 Algebraic topology (55-XX) 18 Probability theory and stochastic processes (60-XX) 16 Convex and discrete geometry (52-XX) 12 Topological groups, Lie groups (22-XX) 11 Group theory and generalizations (20-XX) 9 Category theory; homological algebra (18-XX) 9 Special functions (33-XX) 9 Systems theory; control (93-XX) 7 Potential theory (31-XX) 7 Ordinary differential equations (34-XX) 6 Nonassociative rings and algebras (17-XX) 6 Mechanics of particles and systems (70-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Mathematics education (97-XX) 4 Commutative algebra (13-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Difference and functional equations (39-XX) 4 Operator theory (47-XX) 4 Geometry (51-XX) 4 Statistics (62-XX) 4 Biology and other natural sciences (92-XX) 3 Associative rings and algebras (16-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 General topology (54-XX) 3 Information and communication theory, circuits (94-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Mechanics of deformable solids (74-XX) 2 Astronomy and astrophysics (85-XX) 1 $$K$$-theory (19-XX) 1 Measure and integration (28-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

412 Publications have been cited 11,912 times in 7,878 Documents Cited by Year
On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I. Zbl 0369.53059
Yau, Shing-Tung
1978
On the parabolic kernel of the Schrödinger operator. Zbl 0611.58045
Li, Peter; Yau, Shing Tung
1986
Harmonic functions on complete Riemannian manifolds. Zbl 0291.31002
Yau, Shing-tung
1975
Lectures on differential geometry. Zbl 0830.53001
Schoen, Richard; Yau, Shing-Tung
1994
Differential equations on Riemannian manifolds and their geometric applications. Zbl 0312.53031
Cheng, S. Y.; Yau, Shing-Tung
1975
On the proof of the positive mass conjecture in general relativity. Zbl 0405.53045
Schoen, Richard; Yau, Shing-Tung
1979
Some function-theoretic properties of complete Riemannian manifold and their applications to geometry. Zbl 0335.53041
Yau, Shing-Tung
1976
Mirror symmetry is $$T$$-duality. Zbl 0896.14024
Strominger, A.; Yau, S.-T.; Zaslow, E.
1996
Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces. Zbl 0352.53021
Cheng, Shiu-Yuen; Yau, Shing-Tung
1976
On the existence of Hermitian-Yang-Mills connections in stable vector bundles. Zbl 0615.58045
Uhlenbeck, K.; Yau, S. T.
1986
Calabi’s conjecture and some new results in algebraic geometry. Zbl 0355.32028
Yau, Shing-Tung
1977
Conformally flat manifolds, Kleinian groups and scalar curvature. Zbl 0658.53038
Schoen, Richard; Yau, Shing-Tung
1988
On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of Fefferman’s equation. Zbl 0506.53031
Cheng, Shiu-Yuen; Yau, Shing-Tung
1980
On the Schrödinger equation and the eigenvalue problem. Zbl 0554.35029
Li, Peter; Yau, Shing-Tung
1983
Hypersurfaces with constant scalar curvature. Zbl 0349.53041
Cheng, Shiu-Yuen; Yau, Shing-Tung
1977
A general Schwarz lemma for Kähler manifolds. Zbl 0424.53040
Yau, Shing-Tung
1978
Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature. Zbl 0431.53051
Schoen, Richard; Yau, Shing-Tung
1979
Proof of the positive mass theorem. II. Zbl 0494.53028
Schoen, Richard; Yau, Shing-Tung
1981
A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces. Zbl 0503.53042
Li, Peter; Yau, Shing-Tung
1982
On the structure of manifolds with positive scalar curvature. Zbl 0423.53032
Schoen, Richard; Yau, Shing-Tung
1979
Submanifolds with constant mean curvature. I. Zbl 0304.53041
Yau, Shing-Tung
1974
Curvature estimates for minimal hypersurfaces. Zbl 0323.53039
Schoen, Richard; Simon, Leon; Yau, Shing-Tung
1975
Sasaki-Einstein manifolds and volume minimisation. Zbl 1161.53029
Martelli, Dario; Sparks, James; Yau, Shing-Tung
2008
On the regularity of the Monge-Ampère equation $$\text{det}(\partial^2u/\partial x_1\partial x_j)=F(x,u)$$. Zbl 0347.35019
Cheng, Shiu-Yuen; Yau, Shing-Tung
1977
The geometric dual of $$a$$-maximisation for toric Sasaki-Einstein manifolds. Zbl 1190.53041
Martelli, Dario; Sparks, James; Yau, Shing-Tung
2006
Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces. Zbl 0814.53056
Hosono, S.; Klemm, A.; Theisen, S.; Yau, S.-T.
1995
Complete affine hypersurfaces. I: The completeness of affine metrics. Zbl 0623.53002
Cheng, Shiu-Yuen; Yau, Shing-Tung
1986
Stringy cosmic strings and noncompact Calabi-Yau manifolds. Zbl 0744.53045
Greene, B. R.; Shapere, A.; Vafa, C.; Yau, Shing-Tung
1990
Compact Kähler manifolds of positive bisectional curvature. Zbl 0442.53056
Siu, Yum-Tong; Yau, Shing-Tung
1980
On the regularity of the solution of the $$n$$-dimensional Minkowski problem. Zbl 0363.53030
Cheng, Shiu-Yuen; Yau, Shing-Tung
1976
Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature. Zbl 0361.53040
Schoen, Richard; Yau, Shing-Tung
1976
Calabi-Yau four-folds for $$M$$- and $$F$$-theory compactifications. Zbl 0920.14016
Klemm, A.; Lian, B.; Roan, S.-S.; Yau, S.-T.
1998
Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature. Zbl 0521.53007
Meeks, William H. III; Simon, Leon; Yau, Shing-Tung
1982
A lower bound for the heat kernel. Zbl 0481.35003
Cheeger, Jeff; Yau, Shing-Tung
1981
Lectures on harmonic maps. Zbl 0886.53004
Schoen, R.; Yau, S.-T.
1997
On the upper estimate of the heat kernel of a complete Riemannian manifold. Zbl 0484.53035
Cheng, Siu Yuen; Li, Peter; Yau, Shing-Tung
1981
Mirror principle. I. Zbl 0953.14026
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
1997
Local mirror symmetry: Calculations and interpretations. Zbl 0976.32012
Chiang, T.-M.; Klemm, A.; Yau, S.-T.; Zaslow, E.
1999
Isoperimetric constants and the first eigenvalue of a compact Riemannian manifold. Zbl 0325.53039
Yau, Shing-Tung
1975
The existence of embedded minimal surfaces and the problem of uniqueness. Zbl 0479.49026
Meeks, William H. III; Yau, Shing-Tung
1982
Open problems in geometry. Zbl 0801.53001
Yau, Shing Tung
1993
Kähler-Einstein metrics on complex surfaces with $$C_ 1>0$$. Zbl 0631.53052
Tian, Gang; Yau, Shing Tung
1987
Topology of three dimensional manifolds and the embedding problems in minimal surface theory. Zbl 0458.57007
Meeks, William H. III; Yau, Shing-Tung
1980
On univalent harmonic maps between surfaces. Zbl 0388.58005
Schoen, Richard; Yau, Shing-Tung
1978
Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds. Zbl 0446.58017
Yang, Paul C.; Yau, Shing-Tung
1980
Ricci curvature and eigenvalue estimate on locally finite graphs. Zbl 1232.31003
Lin, Yong; Yau, Shing-Tung
2010
Complete Kähler manifolds with zero Ricci curvature. I. Zbl 0719.53041
Tian, G.; Yau, Shing Tung
1990
Small resolutions of SU(5)-models in F-theory. Zbl 1447.81171
Esole, Mboyo; Yau, Shing-Tung
2013
Complete Kähler manifolds with zero Ricci curvature. II. Zbl 0766.53053
Tian, Gang; Yau, Shing Tung
1991
Li-Yau inequality on graphs. Zbl 1323.35189
Bauer, Frank; Horn, Paul; Lin, Yong; Lippner, Gabor; Mangoubi, Dan; Yau, Shing-Tung
2015
The classical Plateau problem and the topology of three-dimensional manifolds. The embedding of the solution given by Douglas-Morrey and an analytic proof of Dehn’s lemma. Zbl 0489.57002
Meeks, William H. III; Yau, Shing-Tung
1982
The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation. Zbl 1141.53036
Fu, Ji-Xiang; Yau, Shing-Tung
2008
Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature. Zbl 0858.53071
Huisken, Gerhard; Yau, Shing-Tung
1996
On the heat kernel of a complete Riemannian manifold. Zbl 0405.35025
Yau, Shing-Tung
1978
Compact manifolds of nonpositive curvature. Zbl 0266.53035
Lawson, H. Blaine jun.; Yau, Shing-Tung
1972
Compact group actions and the topology of manifolds with non-positive curvature. Zbl 0424.58012
Schoen, Richard; Yau, Shing-Tung
1979
On the curvature of compact Hermitian manifolds. Zbl 0299.53039
Yau, Shing-Tung
1974
Problem section of the seminar in differential geometry at Tokyo. Zbl 0479.53001
Yau, Shing-Tung
1982
Canonical metrics on the moduli space of Riemann surfaces. I. Zbl 1078.30038
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2004
An estimate of the gap of the first two eigenvalues in the Schrödinger operator. Zbl 0603.35070
Singer, I. M.; Wong, Bun; Yau, Shing-Tung; Yau, Stephen S.-T.
1985
Obstructions to the existence of Sasaki-Einstein metrics. Zbl 1149.53026
Gauntlett, Jerome P.; Martelli, Dario; Sparks, James; Yau, Shing-Tung
2007
Seminar on differential geometry. Zbl 0471.00020
Yau, Shing-Tung (ed.)
1982
Ricci curvature of graphs. Zbl 1237.05204
Lin, Yong; Lu, Linyuan; Yau, Shing-Tung
2011
Connectedness of the boundary in the AdS/CFT correspondence. Zbl 0978.53085
Witten, Edward; Yau, S.-T.
1999
Submanifolds with constant mean curvature. II. Zbl 0304.53042
Yau, Shing-Tung
1975
Special Lagrangians, stable bundles and mean curvature flow. Zbl 1115.53054
Thomas, R. P.; Yau, S.-T.
2002
Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83015
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
2006
BPS states, string duality, and nodal curves on $$K3$$. Zbl 0964.81521
Yau, Shing-Tung; Zaslow, Eric
1996
The existence of supersymmetric string theory with torsion. Zbl 1102.53052
Li, Jun; Yau, Shingtung
2005
A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry. Zbl 0806.53064
Jost, Jürgen; Yau, Shing-Tung
1993
The existence of a black hole due to condensation of matter. Zbl 0541.53054
Schoen, Richard; Yau, Shing-Tung
1983
Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory. Zbl 1192.81312
Becker, Katrin; Becker, Melanie; Fu, Ji-Xiang; Tseng, Li-Sheng; Yau, Shing-Tung
2006
Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces. Zbl 1020.32508
Hosono, S.; Klemm, A.; Theisen, S.; Yau, S.-T.
1995
Positivity of quasilocal mass. Zbl 1267.83028
Liu, Chiu-Chu Melissa; Yau, Shing-Tung
2003
Isometric embeddings into the Minkowski space and new quasi-local mass. Zbl 1195.53039
Wang, Mu-Tao; Yau, Shing-Tung
2009
Heat equations on minimal submanifolds and their applications. Zbl 0575.53038
Cheng, Shiu-Yuen; Li, Peter; Yau, Shing-Tung
1984
Upper bound for the first eigenvalue of algebraic submanifolds. Zbl 0814.53040
Bourguignon, Jean-Pierre; Li, Peter; Yau, Shing Tung
1994
A note on our previous paper: On the existence of Hermitian Yang-Mills connections in stable vector bundles. Zbl 0678.58041
Uhlenbeck, K.; Yau, S. T.
1989
Smooth static solutions of the Einstein/Yang-Mills equations. Zbl 0755.53061
Smoller, Joel A.; Wassermann, Arthur G.; Yau, S.-T.; McLeod, J. B.
1991
Canonical metrics on the moduli space of Riemann surfaces. II. Zbl 1086.32011
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2005
Discrete Green’s functions. Zbl 0963.65120
Chung, Fan; Yau, S.-T.
2000
The Poincaré-Lelong equation on complete Kähler manifolds. Zbl 0531.32007
Mok, Ngaiming; Siu, Yum-Tong; Yau, Shing-Tung
1981
The energy and the linear momentum of space-times in general relativity. Zbl 0934.83031
Schoen, Richard; Yau, Shing Tung
1981
Taming symplectic forms and the Calabi-Yau equation. Zbl 1153.53054
Tosatti, Valentino; Weinkove, Ben; Yau, Shing-Tung
2008
Cohomology and Hodge theory on symplectic manifolds. I. Zbl 1275.53079
Tseng, Li-Sheng; Yau, Shing-Tung
2012
Nonlinear analysis in geometry. Zbl 0631.53002
Yau, Shing Tung
1987
From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform. Zbl 1033.53044
Leung, Naichung Conan; Yau, Shing-Tung; Zaslow, Eric
2000
Logarithmic Harnack inequalities. Zbl 0880.58026
Chung, F. R. K.; Yau, S.-T.
1996
Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay. Zbl 0358.32006
Siu, Yum-Tong; Yau, Shing-Tung
1977
The equivariant Dehn’s lemma and loop theorem. Zbl 0469.57005
Meeks, William H. III; Yau, Shing-Tung
1981
Essays on mirror manifolds. Zbl 0816.00010
Yau, Shing-Tung (ed.)
1992
Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres. Zbl 0297.57016
Lawson, H. Blaine jun.; Yau, Shing-Tung
1974
Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces. Zbl 0908.32008
Hosono, S.; Klemm, A.; Theisen, S.; Yau, S. T.
1995
Estimates of eigenvalues of a compact Riemannian manifold. Zbl 0441.58014
Li, Peter; Yau, Shing-Tung
1980
Arithmetic properties of mirror map and quantum coupling. Zbl 0867.14017
Lian, Bong H.; Yau, Shing-Tung
1996
Balanced metrics on non-Kähler Calabi-Yau threefolds. Zbl 1264.32020
Fu, Jixiang; Li, Jun; Yau, Shing-Tung
2012
GKZ-generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces. Zbl 0870.14028
Hosono, S.; Lian, B. H.; Yau, S.-T.
1996
Graph homotopy and Graham homotopy. Zbl 0990.05120
Chen, Beifang; Yau, Shing-Tung; Yeh, Yeong-Nan
2001
Complete three dimensional manifolds with positive Ricci curvature and scalar curvature. Zbl 0481.53036
Schoen, Richard; Yau, Shing-Tung
1982
Three dimensional canonical singularity and five dimensional $$\mathcal{N} = 1$$ SCFT. Zbl 1380.81416
Xie, Dan; Yau, Shing-Tung
2017
Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics. Zbl 1469.58007
Collins, Tristan C.; Yau, Shing-Tung
2021
Localized Donaldson-Thomas theory of surfaces. Zbl 1442.14175
Gholampour, Amin; Sheshmani, Artan; Yau, Shing-Tung
2020
$$(1,1)$$ forms with specified Lagrangian phase: a priori estimates and algebraic obstructions. Zbl 1442.14124
Collins, Tristan C.; Jacob, Adam; Yau, Shing-Tung
2020
Nested Hilbert schemes on surfaces: virtual fundamental class. Zbl 1437.14054
Gholampour, Amin; Sheshmani, Artan; Yau, Shing-Tung
2020
Invariant metrics on negatively pinched complete Kähler manifolds. Zbl 07171893
Wu, Damin; Yau, Shing-Tung
2020
Existence of solutions to mean field equations on graphs. Zbl 1447.35338
Huang, An; Lin, Yong; Yau, Shing-Tung
2020
Quasi-local energy with respect to de Sitter/anti-de Sitter reference. Zbl 1467.53020
Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung
2020
Path complexes and their homologies. Zbl 1448.05171
Grigor&rsquo;yan, A. A.; Lin, Yong; Muranov, Yu. V.; Yau, Shing-Tung
2020
Li-Yau inequality for unbounded Laplacian on graphs. Zbl 1428.35651
Gong, Chao; Lin, Yong; Liu, Shuang; Yau, Shing-Tung
2019
Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for non-negatively curved graphs. Zbl 1432.35213
Horn, Paul; Lin, Yong; Liu, Shuang; Yau, Shing-Tung
2019
A novel stretch energy minimization algorithm for equiareal parameterizations. Zbl 1417.65112
Yueh, Mei-Heng; Lin, Wen-Wei; Wu, Chin-Tien; Yau, Shing-Tung
2019
Poisson metrics on flat vector bundles over non-compact curves. Zbl 1422.53057
Collins, Tristan C.; Jacob, Adam; Yau, Shing-Tung
2019
A geometric view of optimal transportation and generative model. Zbl 1430.49050
Lei, Na; Su, Kehua; Cui, Li; Yau, Shing-Tung; Gu, Xianfeng David
2019
Quantum statistics and spacetime topology: quantum surgery formulas. Zbl 1427.81059
Wang, Juven; Wen, Xiao-Gang; Yau, Shing-Tung
2019
Seiberg-Witten differential via primitive forms. Zbl 1412.81166
Li, Si; Xie, Dan; Yau, Shing-Tung
2019
iSIRA: integrated shift-invert residual Arnoldi method for graph Laplacian matrices from big data. Zbl 1452.65067
Huang, Wei-Qiang; Lin, Wen-Wei; Lu, Henry Horng-Shing; Yau, Shing-Tung
2019
ADE string chains and mirror symmetry. Zbl 1384.81125
Haghighat, Babak; Yan, Wenbin; Yau, Shing-Tung
2018
The deformed Hermitian-Yang-Mills equation in geometry and physics. Zbl 1421.35300
Collins, Tristan C.; Xie, Dan; Yau, Shing-Tung
2018
D-type fiber-base duality. Zbl 1398.83108
Haghighat, Babak; Kim, Joonho; Yan, Wenbin; Yau, Shing-Tung
2018
On the path homology theory of digraphs and Eilenberg-Steenrod axioms. Zbl 1391.05125
Grigor&rsquo;yan, Alexander; Jimenez, Rolando; Muranov, Yuri; Yau, Shing-Tung
2018
Quasi-local energy with respect to a static spacetime. Zbl 1400.83003
Chen, Po-Ning; Wang, Mu-Tao; Wang, Ye-Kai; Yau, Shing-Tung
2018
Calabi-Yau volumes and reflexive polytopes. Zbl 1404.14050
He, Yang-Hui; Seong, Rak-Kyeong; Yau, Shing-Tung
2018
Path homology theory of multigraphs and quivers. Zbl 1404.55010
Grigor&rsquo;yan, Alexander; Muranov, Yuri; Vershinin, Vladimir; Yau, Shing-Tung
2018
Evaluating small sphere limit of the Wang-Yau quasi-local energy. Zbl 1390.83052
Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung
2018
On the existence of Hermitian Yang-Mills connections in stable vector bundles. Zbl 1415.32019
Uhlenbeck, Karen; Yau, Shing-Tung
2018
Complete Kähler-Einstein metrics under certain holomorphic covering and examples. (Métriques complètes de Kähler-Einstein sous certains revêtements holomorphes et exemples.) Zbl 1426.32012
Wu, Damin; Yau, Shing-Tung
2018
Three dimensional canonical singularity and five dimensional $$\mathcal{N} = 1$$ SCFT. Zbl 1380.81416
Xie, Dan; Yau, Shing-Tung
2017
A special Lagrangian type equation for holomorphic line bundles. Zbl 1375.32045
2017
Sharp Davies-Gaffney-Grigor’yan lemma on graphs. Zbl 06774925
Bauer, Frank; Hua, Bobo; Yau, Shing-Tung
2017
Braiding statistics and link invariants of bosonic/fermionic topological quantum matter in 2+1 and 3+1 dimensions. Zbl 1370.81157
Putrov, Pavel; Wang, Juven; Yau, Shing-Tung
2017
An efficient energy minimization for conformal parameterizations. Zbl 1380.65049
Yueh, Mei-Heng; Lin, Wen-Wei; Wu, Chin-Tien; Yau, Shing-Tung
2017
Pretty good quantum state transfer in symmetric spin networks via magnetic field. Zbl 1382.81049
Kempton, Mark; Lippner, Gabor; Yau, Shing-Tung
2017
4d $$\mathcal{N} = 2$$ SCFT and singularity theory. II: Complete intersection. Zbl 1366.81256
Chen, Bingyi; Xie, Dan; Yau, Shing-Tung; Yau, Stephen S.-T.; Zuo, Huaiqing
2017
Calabi-Yau modular forms in limit: elliptic fibrations. Zbl 1421.14009
Haghighat, Babak; Movasati, Hossein; Yau, Shing-Tung
2017
$$4d\; \mathcal{N} = 2$$ SCFT from complete intersection singularity. Zbl 1384.81139
Wang, Yifan; Xie, Dan; Yau, Stephen S.-T.; Yau, Shing-Tung
2017
Homologies of digraphs and Künneth formulas. Zbl 1381.05062
Grigor&rsquo;yan, Alexander; Muranov, Yuri; Yau, Shing-Tung
2017
Curvatures of moduli space of curves and applications. Zbl 1388.53077
Liu, Kefeng; Sun, Xiaofeng; Yang, Xiaokui; Yau, Shing-Tung
2017
A strong Harnack inequality for graphs. Zbl 1378.05119
Chung, Fan; Yau, Shing-Tung
2017
Quasi-local mass at the null infinity of the Vaidya spacetime. Zbl 1380.83078
Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung
2017
String-Math 2015. Proceedings of the conference, Tsinghua Sanya International Mathematics Forum in Sanya, China, December 31, 2015 – January 4, 2016. Zbl 1381.14004
Li, Si; Lian, Bong H.; Song, Wei; Yau, Shing-Tung
2017
Nonexistence for complete Kähler-Einstein metrics on some noncompact manifolds. Zbl 1382.32017
Gao, Peng; Yau, Shing-Tung; Zhou, Wubin
2017
The rest mass of an asymptotically anti-de Sitter spacetime. Zbl 1367.83010
Chen, Po-Ning; Hung, Pei-Ken; Wang, Mu-Tao; Yau, Shing-Tung
2017
Singularities and gauge theory phases. II. Zbl 1428.81124
Esole, Mboyo; Shao, Shu-Heng; Yau, Shing-Tung
2016
Negative holomorphic curvature and positive canonical bundle. Zbl 1357.53085
Wu, Damin; Yau, Shing-Tung
2016
A remark on our paper “negative holomorphic curvature and positive canonical bundle”. Zbl 1373.53100
Wu, Damin; Yau, Shing-Tung
2016
Variational principles for Minkowski type problems, discrete optimal transport, and discrete Monge-Ampère equations. Zbl 1339.49039
Gu, Xianfeng; Luo, Feng; Sun, Jian; Yau, Shing-Tung
2016
Cohomology and Hodge theory on symplectic manifolds. III. Zbl 1353.53085
Tsai, Chung-Jun; Tseng, Li-Sheng; Yau, Shing-Tung
2016
Heterotic string compactification and new vector bundles. Zbl 1342.81450
Lin, Hai; Wu, Baosen; Yau, Shing-Tung
2016
Airy equation for the topological string partition function in a scaling limit. Zbl 1338.81305
Alim, Murad; Yau, Shing-Tung; Zhou, Jie
2016
Gauss-Manin connection in disguise: Calabi-Yau threefolds. Zbl 1348.14103
Alim, Murad; Movasati, Hossein; Scheidegger, Emanuel; Yau, Shing-Tung
2016
On the validity of the definition of angular momentum in general relativity. Zbl 1335.83006
Chen, Po-Ning; Huang, Lan-Hsuan; Wang, Mu-Tao; Yau, Shing-Tung
2016
Quasilocal angular momentum and center of mass in general relativity. Zbl 1355.83004
Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung
2016
On a cohomology of digraphs and Hochschild cohomology. Zbl 1353.05056
Grigor&rsquo;yan, Alexander; Muranov, Yuri; Yau, Shing-Tung
2016
On complete constant scalar curvature Kähler metrics with Poincaré-Mok-Yau asymptotic property. Zbl 1345.53077
Fu, Jixiang; Yau, Shing-Tung; Zhou, Wubin
2016
Chain integral solutions to tautological systems. Zbl 1364.14031
Huang, An; Lian, Bong H.; Yau, Shing-Tung; Zhu, Xinwen
2016
Conserved quantities on asymptotically hyperbolic initial data sets. Zbl 1367.83011
Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung
2016
Semicontinuity of 4d $$\mathcal{N}=2$$ spectrum under renormalization group flow. Zbl 1388.81896
Xie, Dan; Yau, Shing-Tung
2016
From Riemann and Kodaira to modern developments on complex manifolds. Zbl 1354.53004
Yau, Shing-Tung
2016
Li-Yau inequality on graphs. Zbl 1323.35189
Bauer, Frank; Horn, Paul; Lin, Yong; Lippner, Gabor; Mangoubi, Dan; Yau, Shing-Tung
2015
$$D_5$$ elliptic fibrations: non-Kodaira fibers and new orientifold limits of F-theory. Zbl 1333.81329
Esole, Mboyo; Fullwood, James; Yau, Shing-Tung
2015
Singularities and gauge theory phases. Zbl 1428.81123
Esole, Mboyo; Shao, Shu-Heng; Yau, Shing-Tung
2015
Invariant solutions to the Strominger system on complex Lie groups and their quotients. Zbl 1319.32022
Fei, Teng; Yau, Shing-Tung
2015
Spanning trees and random walks on weighted graphs. Zbl 1307.05207
Chang, Xiao; Xu, Hao; Yau, Shing-Tung
2015
Davies-Gaffney-Grigor’yan Lemma on graphs. Zbl 1342.58013
Bauer, Frank; Hua, Bobo; Yau, Shing-Tung
2015
Non-Kähler SYZ mirror symmetry. Zbl 1328.53108
Lau, Siu-Cheong; Tseng, Li-Sheng; Yau, Shing-Tung
2015
Conserved quantities in general relativity: from the quasi-local level to spatial infinity. Zbl 1319.83011
Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung
2015
Convergence of an iterative algorithm for Teichmüller maps via harmonic energy optimization. Zbl 1320.30040
Lui, Lok Ming; Gu, Xianfeng; Yau, Shing-Tung
2015
Cohomology of digraphs and (undirected) graphs. Zbl 1329.05132
Grigor&rsquo;yan, Alexander; Lin, Yong; Muranov, Yuri; Yau, Shing-Tung
2015
On the pseudonorm project of birational classification of algebraic varieties. Zbl 1322.14033
Yau, Shing-Tung
2015
Gravitational waves and their memory in general relativity. Zbl 1339.83004
Bieri, Lydia; Garfinkle, David; Yau, Shing-Tung
2015
Time-dependent Hermite-Galerkin spectral method and its applications. Zbl 1410.65398
Luo, Xue; Yau, Shing-Tung; Yau, Stephen S.-T.
2015
Extremal bundles on Calabi-Yau threefolds. Zbl 1328.14068
Gao, Peng; He, Yang-Hui; Yau, Shing-Tung
2015
Complete cscK metrics on the local models of the conifold transition. Zbl 1316.32017
Fu, Jixiang; Yau, Shing-Tung; Zhou, Wubin
2015
Accelerating black holes, spin-$$\frac{3}{2}$$ fields and $$C$$-metric. Zbl 1310.83021
Lin, Hai; Saifullah, K.; Yau, Shing-Tung
2015
Harnack inequalities for graphs with non-negative Ricci curvature. Zbl 1309.05117
Chung, Fan; Lin, Yong; Yau, S.-T.
2014
Special polynomial rings, quasi modular forms and duality of topological strings. Zbl 1314.14081
Alim, Murad; Scheidegger, Emanuel; Yau, Shing-Tung; Zhou, Jie
2014
Teichmüller mapping (T-map) and its applications to landmark matching registration. (Teichmuller mapping (T-map) and its applications to landmark matching registration.) Zbl 1296.65028
Lui, Lok Ming; Lam, Ka Chun; Yau, Shing-Tung; Gu, Xianfeng
2014
Generalized cohomologies and supersymmetry. Zbl 1288.81125
Tseng, Li-Sheng; Yau, Shing-Tung
2014
Homotopy theory for digraphs. Zbl 1312.05063
Grigor&rsquo;yan, Alexander; Lin, Yong; Muranov, Yuri; Yau, Shing-Tung
2014
Ricci-flat graphs with girth at least five. Zbl 1308.05038
Lin, Yong; Lu, Linyuan; Yau, S.-T.
2014
Simplicial Ricci flow. Zbl 1295.53076
Miller, Warner A.; McDonald, Jonathan R.; Alsing, Paul M.; Gu, David X.; Yau, Shing-Tung
2014
Minimizing properties of critical points of quasi-local energy. Zbl 1294.83020
Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung
2014
Graphs associated with simplicial complexes. Zbl 1297.05269
Grigor&rsquo;yan, A.; Muranov, Yu. V.; Yau, Shing-Tung
2014
Building blocks for generalized heterotic/F-theory duality. Zbl 1308.81147
Heckman, Jonathan J.; Lin, Hai; Yau, Shing-Tung
2014
An explicit formula of hitting times for random walks on graphs. Zbl 1306.05228
Xu, Hao; Yau, Shing-Tung
2014
A novel symmetric skew-Hamiltonian isotropic Lanczos algorithm for spectral conformal parameterizations. Zbl 1315.65036
Huang, Wei-Qiang; Gu, Xianfeng David; Lin, Wen-Wei; Yau, Shing-Tung
2014
On the holonomic rank problem. Zbl 1318.32027
Bloch, Spencer; Huang, An; Lian, Bong H.; Srinivas, Vasudevan; Yau, Shing-Tung
2014
The geometry on smooth toroidal compactifications of Siegel varieties. Zbl 1307.14066
Yau, Shing-Tung; Zhang, Yi
2014
High performance computing for spherical conformal and Riemann mappings. Zbl 1314.30011
Huang, Wei-Qiang; Gu, Xianfeng David; Huang, Tsung-Ming; Lin, Song-Sun; Lin, Wen-Wei; Yau, Shing-Tung
2014
Selected expository works of Shing-Tung Yau with commentary. Volume II. Zbl 1401.01046
Yau, Shing-Tung
2014
Small resolutions of SU(5)-models in F-theory. Zbl 1447.81171
Esole, Mboyo; Yau, Shing-Tung
2013
Discrete Green’s functions and random walks on graphs. Zbl 1256.05225
Xu, Hao; Yau, Shing-Tung
2013
Quantum tunneling from three-dimensional black holes. Zbl 1331.81118
Ejaz, Asiya; Gohar, H.; Lin, Hai; Saifullah, K.; Yau, Shing-Tung
2013
On exotic sphere fibrations, topological phases, and edge states in physical systems. Zbl 1277.81092
Lin, Hai; Yau, Shing-Tung
2013
Period integrals of CY and general type complete intersections. Zbl 1276.32004
Lian, Bong H.; Yau, Shing-Tung
2013
Periodic integrals and tautological systems. Zbl 1272.14033
Lian, Bong H.; Song, Ruifang; Yau, Shing-Tung
2013
Open problems in differential geometry. Zbl 1302.53003
Yau, Shing-Tung; Ma, Hui; Tsai, Chung-Jun; Wang, Mu-Tao; Zhao, En-Tao
2013
Visualization of 2-dimensional Ricci flow. Zbl 1287.53058
Dai, Junfei; Luo, Wei; Zhang, Min; Gu, Xianfeng; Yau, Shing-Tung
2013
Teichmüller shape descriptor and its application to Alzheimer’s disease study. Zbl 1304.92074
Zeng, Wei; Shi, Rui; Wang, Yalin; Yau, Shing-Tung; Gu, Xianfeng; Alzheimer&rsquo;s Disease Neuroimaging Initiative
2013
Cohomology and Hodge theory on symplectic manifolds. I. Zbl 1275.53079
Tseng, Li-Sheng; Yau, Shing-Tung
2012
...and 312 more Documents
all top 5

#### Cited by 6,089 Authors

 132 Yau, Shing-Tung 112 de Lima, Henrique F. 49 Biswas, Indranil 43 Velásquez, Marco Antonio Lázaro 41 Jost, Jürgen 38 Tian, Gang 37 Rigoli, Marco 34 Grigor’yan, Alexander Asaturovich 32 Alías, Luis J. 31 Klemm, Albrecht 31 Tam, Luen-Fai 31 Xu, Hongwei 30 Romero, Alfonso 29 Chen, Xiuxiong 29 Dos Santos, Fábio Reis 29 Rubio, Rafael María 29 Vafa, Cumrun 28 Aquino, Cicero Pedro 28 Zhang, Xi 26 Li, Haizhong 26 Morrison, David R. 25 Cheng, Qingming 25 Schäfer-Nameki, Sakura 24 Hua, Bobo 23 Miao, Pengzi 23 Tosatti, Valentino 22 Schoen, Richard Melvin 21 Liu, Kefeng 21 Meeks, William Hamilton III 21 Sparks, James 21 Weinkove, Ben 20 Bao, Jiguang 20 Katz, Sheldon 20 Li, Jiayu 20 Ma, Li 20 Xia, Changyu 19 Grimm, Thomas W. 19 Huang, Guangyue 19 Lin, Yong 19 Martelli, Dario 19 Setti, Alberto G. 19 Smoller, Joel Alan 19 Wang, Mu-Tao 19 Yang, Xiao-Kui 18 Khuri, Marcus A. 18 Lui, Lok Ming 18 McInnes, Brett 18 Taylor, Washington IV 18 Verbitsky, Misha 17 Futaki, Akito 17 LeBrun, Claude R. 17 Li, Peter 17 Li, YanYan 17 Ni, Lei 17 Rodríguez García, José Manuel 17 Song, Jian 17 Wang, Qiaoling 17 Wei, Guoxin 17 Wu, Jiayong 17 Xin, Yuanlong 17 Zhu, Xiaohua 16 Braun, Andreas P. 16 Finster, Felix 16 Li, An-Min 16 Pigola, Stefano 16 Shi, Yuguang 16 Stepanov, Sergeĭ Evgen’evich 16 Wang, Guofang 16 Weigand, Timo 15 Aledo, Juan Ángel 15 Anderson, Michael T. 15 Angella, Daniele 15 Galloway, Gregory J. 15 Lin, Hezi 15 Ugarte, Luis 15 Wang, Linfeng 15 Xiao, Jie 14 Alarcón, Antonio 14 Colding, Tobias Holck 14 El Soufi, Ahmad 14 Lu, Zhiqin 14 Mariño, Marcos 14 Minasian, Ruben 14 Mok, Ngaiming 14 Bessa, Gregório Pacelli 14 Vezzoni, Luigi 14 Wang, Feng-Yu 14 Zhang, Xiao 14 Zheng, Fangyang 13 Anderson, Lara B. 13 Arroja Neves, André 13 Boyer, Charles P. 13 Cao, Huai-Dong 13 Donnelly, Harold 13 Gu, Xianfeng 13 Guedj, Vincent 13 Li, Chi 13 Liu, Chiu-Chu Melissa 13 Münch, Florentin 13 Peternell, Thomas Martin ...and 5,989 more Authors
all top 5

#### Cited in 476 Serials

 398 Journal of High Energy Physics 301 Communications in Mathematical Physics 269 Proceedings of the American Mathematical Society 269 The Journal of Geometric Analysis 256 Mathematische Annalen 253 Transactions of the American Mathematical Society 235 Advances in Mathematics 219 Nuclear Physics. B 202 Mathematische Zeitschrift 196 Calculus of Variations and Partial Differential Equations 193 Journal of Geometry and Physics 177 Inventiones Mathematicae 154 Journal of Functional Analysis 142 Journal of Mathematical Analysis and Applications 142 Duke Mathematical Journal 140 Annals of Global Analysis and Geometry 138 Differential Geometry and its Applications 112 Journal of Mathematical Physics 99 Geometriae Dedicata 94 Manuscripta Mathematica 86 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 79 International Journal of Mathematics 75 Journal für die Reine und Angewandte Mathematik 73 Annales de l’Institut Fourier 71 Tohoku Mathematical Journal. Second Series 68 Geometry & Topology 63 Journal of Differential Equations 61 Science China. Mathematics 59 Journal of the American Mathematical Society 58 Geometric and Functional Analysis. GAFA 57 Bulletin of the American Mathematical Society. New Series 55 General Relativity and Gravitation 54 Compositio Mathematica 53 Annali di Matematica Pura ed Applicata. Serie Quarta 53 Acta Mathematica Sinica. English Series 52 Comptes Rendus. Mathématique. Académie des Sciences, Paris 51 Annales Henri Poincaré 46 Results in Mathematics 45 Potential Analysis 43 Chinese Annals of Mathematics. Series B 40 Archiv der Mathematik 39 Communications in Partial Differential Equations 38 Communications in Contemporary Mathematics 37 Annals of Mathematics. Second Series 35 Journal de Mathématiques Pures et Appliquées. Neuvième Série 34 International Journal of Modern Physics A 34 Letters in Mathematical Physics 33 Acta Mathematica 31 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 29 Topology and its Applications 28 Monatshefte für Mathematik 27 Bulletin of the Brazilian Mathematical Society. New Series 26 Bulletin of the Australian Mathematical Society 25 Israel Journal of Mathematics 25 Mathematical Notes 25 Pacific Journal of Mathematics 25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 24 Archive for Rational Mechanics and Analysis 24 Communications on Pure and Applied Mathematics 24 Science in China. Series A 24 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 23 Revista Matemática Iberoamericana 23 Bulletin des Sciences Mathématiques 23 Journal of the European Mathematical Society (JEMS) 22 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 21 Mathematical Proceedings of the Cambridge Philosophical Society 21 Fortschritte der Physik 21 Publications Mathématiques 21 Kodai Mathematical Journal 21 Journal of Algebraic Geometry 21 International Journal of Geometric Methods in Modern Physics 21 Frontiers of Mathematics in China 20 Mediterranean Journal of Mathematics 19 Osaka Journal of Mathematics 19 Proceedings of the Japan Academy. Series A 19 Journal of Scientific Computing 17 Rocky Mountain Journal of Mathematics 17 The Annals of Probability 17 Discrete and Continuous Dynamical Systems 17 Physical Review Letters 16 Classical and Quantum Gravity 16 Journal of the Mathematical Society of Japan 16 Memoirs of the American Mathematical Society 16 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 15 Reviews in Mathematical Physics 15 Mathematische Nachrichten 15 Nagoya Mathematical Journal 15 Applied Mathematics. Series B (English Edition) 15 Journal of Mathematical Sciences (New York) 14 Discrete Mathematics 14 Journal of Differential Geometry 14 Complex Manifolds 13 Arkiv för Matematik 13 Selecta Mathematica. New Series 13 Living Reviews in Relativity 13 Analysis & PDE 13 Communications in Mathematics and Statistics 12 Modern Physics Letters A 12 Journal d’Analyse Mathématique 12 Glasgow Mathematical Journal ...and 376 more Serials
all top 5

#### Cited in 62 Fields

 4,291 Differential geometry (53-XX) 1,628 Global analysis, analysis on manifolds (58-XX) 1,516 Partial differential equations (35-XX) 1,296 Several complex variables and analytic spaces (32-XX) 1,176 Algebraic geometry (14-XX) 962 Quantum theory (81-XX) 945 Relativity and gravitational theory (83-XX) 437 Manifolds and cell complexes (57-XX) 237 Calculus of variations and optimal control; optimization (49-XX) 203 Probability theory and stochastic processes (60-XX) 197 Functions of a complex variable (30-XX) 196 Combinatorics (05-XX) 175 Potential theory (31-XX) 133 Convex and discrete geometry (52-XX) 133 Numerical analysis (65-XX) 122 Operator theory (47-XX) 91 Dynamical systems and ergodic theory (37-XX) 89 Functional analysis (46-XX) 83 Number theory (11-XX) 81 Algebraic topology (55-XX) 75 Ordinary differential equations (34-XX) 74 Group theory and generalizations (20-XX) 71 Topological groups, Lie groups (22-XX) 64 Statistical mechanics, structure of matter (82-XX) 46 Computer science (68-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 40 Real functions (26-XX) 39 Category theory; homological algebra (18-XX) 39 Mechanics of particles and systems (70-XX) 37 Mechanics of deformable solids (74-XX) 37 Fluid mechanics (76-XX) 36 Nonassociative rings and algebras (17-XX) 36 Special functions (33-XX) 35 Measure and integration (28-XX) 29 $$K$$-theory (19-XX) 28 Abstract harmonic analysis (43-XX) 28 Geometry (51-XX) 25 Difference and functional equations (39-XX) 25 Operations research, mathematical programming (90-XX) 23 Information and communication theory, circuits (94-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 21 Associative rings and algebras (16-XX) 19 Statistics (62-XX) 16 History and biography (01-XX) 16 General topology (54-XX) 16 Astronomy and astrophysics (85-XX) 16 Biology and other natural sciences (92-XX) 15 Systems theory; control (93-XX) 13 Commutative algebra (13-XX) 12 Optics, electromagnetic theory (78-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 General and overarching topics; collections (00-XX) 9 Approximations and expansions (41-XX) 8 Integral equations (45-XX) 4 Integral transforms, operational calculus (44-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Field theory and polynomials (12-XX) 1 Mathematics education (97-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.