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## Tian, Gang

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 Author ID: tian.gang Published as: Tian, Gang; Tian, G. Homepage: http://bicmr.pku.edu.cn/~tian External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef · theses.fr
 Documents Indexed: 198 Publications since 1984, including 5 Books
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#### Co-Authors

 47 single-authored 10 Chen, Xiuxiong 9 Zhu, Xiaohua 7 Siebert, Bernd 6 Li, Jun 6 Streets, Jeffrey D. 6 Zhang, Zhenlei 5 Catanese, Fabrizio M. E. 5 Cheeger, Jeff 5 Ruan, Yongbin 5 Wei, Dongyi 5 Xu, Guangbo 5 Yau, Shing-Tung 4 Chen, Jingyi 4 Ding, Weiyue 4 Kawamata, Yujiro 4 Leeb, Bernhard 4 Li, YanYan 4 Song, Jian 3 Arroja Neves, André 3 Biquard, Olivier 3 Feng, Renjie 3 Hong, Minchun 3 La Nave, Gabriele 3 Li, Jiayu 3 Liu, Gang 3 Lu, Peng 3 Viaclovsky, Jeff A. 3 Viehweg, Eckart 2 Colding, Tobias Holck 2 Li, Chi 2 Morgan, John W. 2 Naber, Aaron C. 2 Paul, Sean Timothy 2 Qing, Jie 2 Rivière, Tristan 2 Shi, Yuguang 2 Xin, Zhouping 2 Zhang, Qi-Shuhuason 2 Zhang, Zhou 1 Arezzo, Claudio 1 Bellettini, Costante 1 Cao, Huai-Dong 1 Chen, Bohui 1 De Bartolomeis, Paolo 1 Fukaya, Kenji 1 Gao, Yihong 1 Kleiner, Bruce 1 Kołodziej, Sławomir 1 Li, Peter 1 Liu, Jiaquan 1 Liu, Xiaobo 1 Lu, Guangcun 1 Lu, Zhiqin 1 Luo, Feng 1 Mundet i Riera, Ignasi 1 Nguyen, Luc 1 Oh, Yong-Geun 1 Ono, Kaoru 1 Rubinstein, Yanir A. 1 Seidel, Paul 1 Sesum, Natasa 1 Stern, Ronald John 1 Sun, Jiacheng 1 Sun, Song 1 Tao, Terence 1 Wang, Bing 1 Wang, Shuguang 1 Xu, Geng 1 Yang, Baozhong 1 Yin, Hao 1 Zhang, Kewei 1 Zhang, Shijin 1 Zhou, Jian
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#### Serials

 11 Inventiones Mathematicae 9 Journal für die Reine und Angewandte Mathematik 9 Journal of the American Mathematical Society 8 Oberwolfach Reports 7 Journal of Differential Geometry 7 Acta Mathematica Sinica. English Series 6 IMRN. International Mathematics Research Notices 5 Mathematische Annalen 5 Geometric and Functional Analysis. GAFA 4 Communications in Mathematical Physics 4 Communications on Pure and Applied Mathematics 4 Commentarii Mathematici Helvetici 4 Communications in Analysis and Geometry 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Advances in Mathematics 3 American Journal of Mathematics 3 Transactions of the American Mathematical Society 3 Chinese Annals of Mathematics. Series B 3 Mathematical Research Letters 3 Annals of Mathematics. Second Series 3 Peking Mathematical Journal 2 Acta Mathematica 2 Duke Mathematical Journal 2 Proceedings of the American Mathematical Society 2 International Journal of Mathematics 2 Calculus of Variations and Partial Differential Equations 2 Turkish Journal of Mathematics 2 Discrete and Continuous Dynamical Systems 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 The Asian Journal of Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Contemporary Mathematics 2 Clay Mathematics Monographs 1 Classical and Quantum Gravity 1 Houston Journal of Mathematics 1 Nuclear Physics. B 1 Publications Mathématiques 1 Manuscripta Mathematica 1 The Journal of Geometric Analysis 1 Proceedings of the National Academy of Sciences of the United States of America 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Kexue Tongbao 1 Acta Mathematica Sinica. New Series 1 Journal of Partial Differential Equations 1 Journal of Algebraic Geometry 1 Topological Methods in Nonlinear Analysis 1 Sbornik: Mathematics 1 Geometry & Topology 1 Journal of High Energy Physics 1 Journal of the Institute of Mathematics of Jussieu 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 IMRS. International Mathematics Research Surveys 1 Lecture Notes in Mathematics 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics 1 Random Matrices: Theory and Applications 1 Communications in Mathematics and Statistics 1 Bollettino dell’Unione Matematica Italiana
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#### Fields

 149 Differential geometry (53-XX) 67 Several complex variables and analytic spaces (32-XX) 51 Algebraic geometry (14-XX) 41 Global analysis, analysis on manifolds (58-XX) 19 Partial differential equations (35-XX) 19 Manifolds and cell complexes (57-XX) 15 Quantum theory (81-XX) 10 General and overarching topics; collections (00-XX) 6 Relativity and gravitational theory (83-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 History and biography (01-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Probability theory and stochastic processes (60-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Algebraic topology (55-XX) 2 Mechanics of particles and systems (70-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH Open

168 Publications have been cited 4,387 times in 2,290 Documents Cited by Year
Kähler-Einstein metrics with positive scalar curvature. Zbl 0892.53027
Tian, Gang
1997
On a set of polarized Kähler metrics on algebraic manifolds. Zbl 0706.53036
Tian, Gang
1990
On Calabi’s conjecture for complex surfaces with positive first Chern class. Zbl 0716.32019
Tian, G.
1990
On Kähler-Einstein metrics on certain Kähler manifolds with $$C_ 1(M)>0$$. Zbl 0599.53046
Tian, Gang
1987
Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties. Zbl 0912.14004
Li, Jun; Tian, Gang
1998
A mathematical theory of quantum cohomology. Zbl 0860.58005
Ruan, Yongbin; Tian, Gang
1995
Ricci flow and the Poincaré conjecture. Zbl 1179.57045
Morgan, John; Tian, Gang
2007
Gauge theory and calibrated geometry. I. Zbl 0957.58013
Tian, Gang
2000
K-stability and Kähler-Einstein metrics. Zbl 1318.14038
Tian, Gang
2015
On the Kähler-Ricci flow on projective manifolds of general type. Zbl 1102.53047
Tian, Gang; Zhang, Zhou
2006
Energy identity for a class of approximate harmonic maps from surfaces. Zbl 0855.58016
Ding, Weiyue; Tian, Gang
1995
A parabolic flow of pluriclosed metrics. Zbl 1198.53077
Streets, Jeffrey; Tian, Gang
2010
Canonical metrics in Kähler geometry. Notes taken by Meike Akveld. Zbl 0978.53002
Tian, Gang
2000
The Kähler-Ricci flow on surfaces of positive Kodaira dimension. Zbl 1134.53040
Song, Jian; Tian, Gang
2007
Kähler-Einstein metrics on complex surfaces with $$C_ 1>0$$. Zbl 0631.53052
Tian, Gang; Yau, Shing Tung
1987
Convergence of Kähler-Ricci flow. Zbl 1185.53078
Tian, Gang; Zhu, Xiaohua
2007
Geometry of Kähler metrics and foliations by holomorphic discs. Zbl 1182.32009
Chen, Xiuxiong; Tian, Gang
2008
Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds. Zbl 0978.53136
Li, Jun; Tian, Gang
1998
Canonical measures and Kähler-Ricci flow. Zbl 1239.53086
Song, Jian; Tian, Gang
2012
Complete Kähler manifolds with zero Ricci curvature. I. Zbl 0719.53041
Tian, G.; Yau, Shing Tung
1990
Ricci flow on Kähler-Einstein surfaces. Zbl 1047.53043
Chen, Xiuxiong; Tian, Gang
2002
On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046
Cheeger, J.; Colding, T. H.; Tian, G.
2002
Complete Kähler manifolds with zero Ricci curvature. II. Zbl 0766.53053
Tian, Gang; Yau, Shing Tung
1991
Bounding scalar curvature and diameter along the Kähler Ricci flow (after Perelman). Zbl 1147.53056
Sesum, Natasa; Tian, Gang
2008
Kähler-Einstein metrics and the generalized Futaki invariant. Zbl 0779.53044
Ding, Weiyue; Tian, Gang
1992
Uniqueness of Kähler-Ricci solitons. Zbl 1036.53052
Tian, Gang; Zhu, Xiaohua
2000
Bubbling of the heat flows for harmonic maps from surfaces. Zbl 0879.58017
Qing, Jie; Tian, Gang
1997
A new holomorphic invariant and uniqueness of Kähler-Ricci solitons. Zbl 1036.53053
Tian, Gang; Zhu, Xiaohua
2002
On quantum cohomology rings of Fano manifolds and a formula of Vafa and Intriligator. Zbl 0974.14040
Siebert, Bernd; Tian, Gang
1997
Floer homology and Arnold conjecture. Zbl 0917.58009
Liu, Gang; Tian, Gang
1998
Hermitian curvature flow. Zbl 1214.53055
Streets, Jeffrey; Tian, Gang
2011
Liouville equation and spherical convex polytopes. Zbl 0806.53012
Luo, Feng; Tian, Gang
1992
Bach-flat asymptotically locally Euclidean metrics. Zbl 1085.53030
Tian, Gang; Viaclovsky, Jeff
2005
Gradient estimation on Navier-Stokes equations. Zbl 0939.35139
Tian, Gang; Xin, Zhouping
1999
Regularity results for pluriclosed flow. Zbl 1272.32022
Streets, Jeffrey; Tian, Gang
2013
The Kähler-Ricci flow through singularities. Zbl 1440.53116
Song, Jian; Tian, Gang
2017
Moduli spaces of critical Riemannian metrics in dimension four. Zbl 1252.53045
Tian, Gang; Viaclovsky, Jeff
2005
On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay. Zbl 0814.53034
Cheeger, Jeff; Tian, Gang
1994
A singularity removal theorem for Yang-Mills fields in higher dimensions. Zbl 1086.53043
Tao, Terence; Tian, Gang
2004
Higher genus symplectic invariants and sigma models coupled with gravity. Zbl 0904.58066
Ruan, Yongbin; Tian, Gang
1997
Asymptotical behaviour of the Yang-Mills flow and singular Yang-Mills connections. Zbl 1073.53084
Hong, Min-Chun; Tian, Gang
2004
Existence of Einstein metrics on Fano manifolds. Zbl 1250.53044
Tian, Gang
2012
The K-energy on hypersurfaces and stability. Zbl 0846.32019
Tian, Gang
1994
On the holomorphicity of genus two Lefschetz fibrations. Zbl 1090.53072
Siebert, Bernd; Tian, Gang
2005
Ricci flow on Kähler-Einstein manifolds. Zbl 1097.53045
Chen, Xiuxiong; Tian, Gang
2006
The geometrization conjecture. Zbl 1302.53001
Morgan, John; Tian, Gang
2014
A note on uniformization of Riemann surfaces by Ricci flow. Zbl 1113.53042
Chen, Xiuxiong; Lu, Peng; Tian, Gang
2006
Kähler-Einstein metrics on algebraic manifolds. Zbl 0896.32003
Tian, Gang
1996
Existence of Kähler-Einstein metrics on complete Kähler manifolds and their applications to algebraic geometry. Zbl 0682.53064
Tian, G.; Yau, S. T.
1987
Smoothness of the universal deformation space of compact Calabi-Yau manifolds and its Peterson-Weil metric. Zbl 0696.53040
Tian, Gang
1987
Compactification of moduli space of harmonic mappings. Zbl 0958.53047
Chen, Jingyi; Tian, Gang
1999
On stability of the tangent bundles of Fano varieties. Zbl 0779.53009
Tian, Gang
1992
Regularity of Kähler-Ricci flows on Fano manifolds. Zbl 1356.53067
Tian, Gang; Zhang, Zhenlei
2016
CM stability and the generalized Futaki invariant. II. Zbl 1204.53061
Paul, Sean Timothy; Tian, Gang
2009
Kähler-Ricci solitons on compact complex manifolds with $$C_{1}( M ) > 0$$. Zbl 1084.53035
Cao, Huai-Dong; Tian, Gang; Zhu, Xiaohua
2005
The log term of the Szegö kernel. Zbl 1072.32014
Lu, Zhiqin; Tian, Gang
2004
One-point singular solutions to the Navier-Stokes equations. Zbl 0923.35121
Tian, Gang; Xin, Zhouping
1998
Generalized Kähler geometry and the pluriclosed flow. Zbl 1246.53091
Streets, Jeffrey; Tian, Gang
2012
A nonlinear inequality of Moser-Trudinger type. Zbl 0987.32017
Tian, Gang; Zhu, Xiaohua
2000
Stability of complex vector bundles. Zbl 0853.32033
De Bartolomeis, Paolo; Tian, Gang
1996
On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds. Zbl 1142.53024
Qing, Jie; Tian, Gang
2007
Curvature and injectivity radius estimates for Einstein 4-manifolds. Zbl 1092.53034
Cheeger, Jeff; Tian, Gang
2006
Convergence of the Kähler-Ricci flow on Fano manifolds. Zbl 1276.14061
Tian, Gang; Zhu, Xiaohua
2013
Perelman’s entropy and Kähler-Ricci flow on a Fano manifold. Zbl 1298.53037
Tian, Gang; Zhang, Shijin; Zhang, Zhenlei; Zhu, Xiaohua
2013
On the heat kernel of the Bergmann metric on algebraic varieties. Zbl 0864.58058
Li, Peter; Tian, Gang
1995
Two-dimensional graphs moving by mean curvature flow. Zbl 1028.53069
Chen, Jing Yi; Li, Jia Yu; Tian, Gang
2002
A compactification of the moduli space of twisted holomorphic maps. Zbl 1177.32007
Mundet i Riera, I.; Tian, G.
2009
On hyperelliptic $$C^\infty$$-Lefschetz fibrations of four-manifolds. Zbl 0948.57018
Siebert, Bernd; Tian, Gang
1999
Smoothing 3-folds with trivial canonical bundle and ordinary double points. Zbl 0829.32012
Tian, Gang
1992
Moving symplectic curves in Kähler-Einstein surfaces. Zbl 0979.53078
Chen, Jingyi; Tian, Gang
2000
The generalized Moser-Trudinger inequality. Zbl 1049.53507
Ding, Weiyue; Tian, Gang
1992
On the weak Kähler-Ricci flow. Zbl 1219.53064
Chen, Xiuxiong; Tian, Gang; Zhang, Z.
2011
The singular set of 1-1 integral currents. Zbl 1182.32010
Rivière, Tristan; Tian, Gang
2009
Rigidity of asymptotically hyperbolic manifolds. Zbl 1092.53033
Shi, Yuguang; Tian, Gang
2005
On smoothness of timelike maximal cylinders in three-dimensional vacuum spacetimes. Zbl 1273.83122
Nguyen, Luc; Tian, Gang
2013
Bott-Chern forms and geometric stability. Zbl 1022.32009
Tian, Gang
2000
A mathematical theory of quantum cohomology. Zbl 0860.58006
Ruan, Yongbin; Tian, Gang
1994
Bounding scalar curvature for global solutions of the Kähler-Ricci flow. Zbl 1377.53087
Song, Jian; Tian, Gang
2016
Minimal surfaces in Riemannian 4-manifolds. Zbl 0891.53042
Chen, J.; Tian, G.
1997
On the existence of solutions of a class of Monge-Ampère equations. Zbl 0665.35027
Tian, Gang
1988
Weinstein conjecture and GW-invariants. Zbl 1008.53071
Liu, Gang; Tian, Gang
2000
Translating solutions to Lagrangian mean curvature flow. Zbl 1282.53057
Neves, André; Tian, Gang
2013
Degeneration of Kähler-Ricci solitons. Zbl 1244.53055
Tian, Gang; Zhang, Zhenlei
2012
Volume growth, curvature decay, and critical metrics. Zbl 1154.53024
Tian, Gang; Viaclovsky, Jeff
2008
New results and problems on Kähler-Ricci flow. Zbl 1180.53067
Tian, Gang
2008
The singular set of $$J$$-holomorphic maps into projective algebraic varieties. Zbl 1051.32015
Rivière, Tristan; Tian, Gang
2004
On the equivalence of multiplicative structures in Floer homology and quantum homology. Zbl 0928.53041
Liu, Gang; Tian, Gang
1999
Virasoro constraints for quantum cohomology. Zbl 0943.58008
Liu, Xiaobo; Tian, Gang
1998
On the structure of almost Einstein manifolds. Zbl 1320.53052
Tian, Gang; Wang, Bing
2015
The blow-up locus of heat flows for harmonic maps. Zbl 0959.58021
Li, Jiayu; Tian, Gang
2000
Bott-type symplectic Floer cohomology and its multiplication structures. Zbl 0844.57023
Ruan, Yongbin; Tian, Gang
1995
Extremal metrics and geometric stability. Zbl 1026.53023
Tian, Gang
2002
Quantum cohomology and its associativity. Zbl 0877.58060
Tian, Gang
1995
Uniqueness of extremal Kähler metrics. Zbl 1069.32017
Chen, Xiuxiong; Tian, Gang
2005
A blow-up formula for stationary harmonic maps. Zbl 0944.58010
Li, Jiayu; Tian, Gang
1998
Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds. II. Zbl 1194.53026
Neves, André; Tian, Gang
2010
Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds. Zbl 1187.53027
Neves, André; Tian, Gang
2009
Infinite geodesic rays in the space of Kähler potentials. Zbl 1170.32312
Arezzo, Claudio; Tian, Gang
2003
Convergence of Kähler-Ricci flow on lower-dimensional algebraic manifolds of general type. Zbl 1404.53085
Tian, Gang; Zhang, Zhenlei
2016
Partial $$C^0$$-estimate for Kähler-Einstein metrics. Zbl 1280.32014
Tian, Gang
2013
On the Yau-Tian-Donaldson conjecture for singular Fano varieties. Zbl 07382001
Li, Chi; Tian, Gang; Wang, Feng
2021
On the existence of conic Kähler-Einstein metrics. Zbl 1457.53052
Tian, Gang; Wang, Feng
2020
Small gaps of GOE. Zbl 1434.60025
Feng, Renjie; Tian, Gang; Wei, Dongyi
2019
Uniqueness of the mean field equation and rigidity of Hawking mass. Zbl 1414.35092
Shi, Yuguang; Sun, Jiacheng; Tian, Gang; Wei, Dongyi
2019
Spectrum of SYK model. Zbl 1431.83091
Feng, Renjie; Tian, Gang; Wei, Dongyi
2019
Some progresses on Kähler-Ricci flow. Zbl 1417.53078
Tian, Gang
2019
Analysis of gauged Witten equation. Zbl 1411.32017
Tian, Gang; Xu, Guangbo
2018
Geometric structures of collapsing Riemannian manifolds. II. Zbl 1403.53036
Naber, Aaron; Tian, Gang
2018
The Kähler-Ricci flow through singularities. Zbl 1440.53116
Song, Jian; Tian, Gang
2017
Bounding diameter of singular Kähler metric. Zbl 1385.53063
La Nave, Gabriele; Tian, Gang; Zhang, Zhenlei
2017
A third derivative estimate for Monge-Ampere equations with conic singularities. Zbl 1376.32040
Tian, Gang
2017
K-stability implies CM-stability. Zbl 1376.32012
Tian, Gang
2017
The symplectic approach of gauged linear $$\sigma$$-model. Zbl 1384.53072
Tian, Gang; Xu, Guangbo
2017
Regularity of Kähler-Ricci flows on Fano manifolds. Zbl 1356.53067
Tian, Gang; Zhang, Zhenlei
2016
Bounding scalar curvature for global solutions of the Kähler-Ricci flow. Zbl 1377.53087
Song, Jian; Tian, Gang
2016
Convergence of Kähler-Ricci flow on lower-dimensional algebraic manifolds of general type. Zbl 1404.53085
Tian, Gang; Zhang, Zhenlei
2016
A continuity method to construct canonical metrics. Zbl 1351.53085
La Nave, Gabriele; Tian, Gang
2016
Soliton-type metrics and Kähler-Ricci flow on symplectic quotients. Zbl 1339.53069
La Nave, Gabriele; Tian, Gang
2016
Correlation functions of gauged linear $$\sigma$$-model. Zbl 1351.53109
Tian, Gang; Xu, GuangBo
2016
Notes on Kähler-Ricci flow. Zbl 1410.53069
Tian, Gang
2016
K-stability and Kähler-Einstein metrics. Zbl 1318.14038
Tian, Gang
2015
On the structure of almost Einstein manifolds. Zbl 1320.53052
Tian, Gang; Wang, Bing
2015
The Yang-Mills $$\alpha$$-flow in vector bundles over four manifolds and its applications. Zbl 1316.58009
Hong, Min-Chun; Tian, Gang; Yin, Hao
2015
Corrigendum: K-stability and Kähler-Einstein metrics. Zbl 1330.14071
Tian, Gang
2015
Kähler-Einstein metrics on Fano manifolds. Zbl 1330.53094
Tian, Gang
2015
A compactness result for Fano manifolds and Kähler Ricci flows. Zbl 1325.32024
Tian, Gang; Zhang, Qi S.
2015
The geometrization conjecture. Zbl 1302.53001
Morgan, John; Tian, Gang
2014
Symplectic curvature flow. Zbl 1305.53083
Streets, Jeffrey; Tian, Gang
2014
Isoperimetric inequality under Kähler Ricci flow. Zbl 1317.53091
Tian, Gang; Zhang, Qi S.
2014
Regularity results for pluriclosed flow. Zbl 1272.32022
Streets, Jeffrey; Tian, Gang
2013
Convergence of the Kähler-Ricci flow on Fano manifolds. Zbl 1276.14061
Tian, Gang; Zhu, Xiaohua
2013
Perelman’s entropy and Kähler-Ricci flow on a Fano manifold. Zbl 1298.53037
Tian, Gang; Zhang, Shijin; Zhang, Zhenlei; Zhu, Xiaohua
2013
On smoothness of timelike maximal cylinders in three-dimensional vacuum spacetimes. Zbl 1273.83122
Nguyen, Luc; Tian, Gang
2013
Translating solutions to Lagrangian mean curvature flow. Zbl 1282.53057
Neves, André; Tian, Gang
2013
Partial $$C^0$$-estimate for Kähler-Einstein metrics. Zbl 1280.32014
Tian, Gang
2013
Regularity of the Kähler-Ricci flow. Zbl 1278.53073
Tian, Gang; Zhang, Zhenlei
2013
Canonical measures and Kähler-Ricci flow. Zbl 1239.53086
Song, Jian; Tian, Gang
2012
Existence of Einstein metrics on Fano manifolds. Zbl 1250.53044
Tian, Gang
2012
Generalized Kähler geometry and the pluriclosed flow. Zbl 1246.53091
Streets, Jeffrey; Tian, Gang
2012
Degeneration of Kähler-Ricci solitons. Zbl 1244.53055
Tian, Gang; Zhang, Zhenlei
2012
Hermitian curvature flow. Zbl 1214.53055
Streets, Jeffrey; Tian, Gang
2011
On the weak Kähler-Ricci flow. Zbl 1219.53064
Chen, Xiuxiong; Tian, Gang; Zhang, Z.
2011
Geometric structures of collapsing Riemannian manifolds. Zbl 1261.53043
Naber, Aaron; Tian, Gang
2011
Regularity theory for pluriclosed flow. (Théorie de la régularité pour un flot multifermé.) Zbl 1207.53069
Streets, Jeffrey; Tian, Gang
2011
A parabolic flow of pluriclosed metrics. Zbl 1198.53077
Streets, Jeffrey; Tian, Gang
2010
Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds. II. Zbl 1194.53026
Neves, André; Tian, Gang
2010
Virtual manifolds and localization. Zbl 1209.57025
Chen, Bohui; Tian, Gang
2010
Finite-time singularity of Kähler-Ricci flow. Zbl 1193.53144
Tian, Gang
2010
CM stability and the generalized Futaki invariant. II. Zbl 1204.53061
Paul, Sean Timothy; Tian, Gang
2009
A compactification of the moduli space of twisted holomorphic maps. Zbl 1177.32007
Mundet i Riera, I.; Tian, G.
2009
The singular set of 1-1 integral currents. Zbl 1182.32010
Rivière, Tristan; Tian, Gang
2009
Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds. Zbl 1187.53027
Neves, André; Tian, Gang
2009
A note on Kähler-Ricci soliton. Zbl 1177.53037
Chen, Xiuxiong; Sun, Song; Tian, Gang
2009
Orientability and real Seibert-Witten invariants. Zbl 1184.57025
Tian, Gang; Wang, Shuguang
2009
Geometry of Kähler metrics and foliations by holomorphic discs. Zbl 1182.32009
Chen, Xiuxiong; Tian, Gang
2008
Bounding scalar curvature and diameter along the Kähler Ricci flow (after Perelman). Zbl 1147.53056
Sesum, Natasa; Tian, Gang
2008
Volume growth, curvature decay, and critical metrics. Zbl 1154.53024
Tian, Gang; Viaclovsky, Jeff
2008
New results and problems on Kähler-Ricci flow. Zbl 1180.53067
Tian, Gang
2008
A uniform $$L^{\infty}$$ estimate for complex Monge-Ampère equations. Zbl 1159.32022
Kołodziej, Sławomir; Tian, Gang
2008
Constructing virtual Euler cycles and classes. Zbl 1175.58001
Lu, Guangcun; Tian, Gang
2008
Lectures on pseudo-holomorphic curves and the symplectic isotopy problem. Zbl 1145.14012
Siebert, Bernd; Tian, Gang
2008
Symplectic 4-manifolds and algebraic surfaces. Lectures given at the C.I.M.E. summer school, Cetraro, Italy, September 2-10, 2003. Zbl 1139.57001
Catanese, Fabrizio; Tian, Gang
2008
Ricci flow and the Poincaré conjecture. Zbl 1179.57045
Morgan, John; Tian, Gang
2007
The Kähler-Ricci flow on surfaces of positive Kodaira dimension. Zbl 1134.53040
Song, Jian; Tian, Gang
2007
Convergence of Kähler-Ricci flow. Zbl 1185.53078
Tian, Gang; Zhu, Xiaohua
2007
On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds. Zbl 1142.53024
Qing, Jie; Tian, Gang
2007
On the Kähler-Ricci flow on projective manifolds of general type. Zbl 1102.53047
Tian, Gang; Zhang, Zhou
2006
Ricci flow on Kähler-Einstein manifolds. Zbl 1097.53045
Chen, Xiuxiong; Tian, Gang
2006
A note on uniformization of Riemann surfaces by Ricci flow. Zbl 1113.53042
Chen, Xiuxiong; Lu, Peng; Tian, Gang
2006
Curvature and injectivity radius estimates for Einstein 4-manifolds. Zbl 1092.53034
Cheeger, Jeff; Tian, Gang
2006
Aspects of metric geometry of four manifolds. Zbl 1145.53030
Tian, Gang
2006
Bach-flat asymptotically locally Euclidean metrics. Zbl 1085.53030
Tian, Gang; Viaclovsky, Jeff
2005
Moduli spaces of critical Riemannian metrics in dimension four. Zbl 1252.53045
Tian, Gang; Viaclovsky, Jeff
2005
On the holomorphicity of genus two Lefschetz fibrations. Zbl 1090.53072
Siebert, Bernd; Tian, Gang
2005
Kähler-Ricci solitons on compact complex manifolds with $$C_{1}( M ) > 0$$. Zbl 1084.53035
Cao, Huai-Dong; Tian, Gang; Zhu, Xiaohua
2005
Rigidity of asymptotically hyperbolic manifolds. Zbl 1092.53033
Shi, Yuguang; Tian, Gang
2005
Uniqueness of extremal Kähler metrics. Zbl 1069.32017
Chen, Xiuxiong; Tian, Gang
2005
Anti-self-duality of curvature and degeneration of metrics with special holonomy. Zbl 1081.53038
Cheeger, Jeff; Tian, Gang
2005
An equivariant version of the $$K$$-energy. Zbl 1092.32013
Tian, Gang
2005
Partial regularity for homogeneous complex Monge-Ampère equations. Zbl 1152.32304
Chen, Xiuxiong; Tian, Gang
2005
A singularity removal theorem for Yang-Mills fields in higher dimensions. Zbl 1086.53043
Tao, Terence; Tian, Gang
2004
Asymptotical behaviour of the Yang-Mills flow and singular Yang-Mills connections. Zbl 1073.53084
Hong, Min-Chun; Tian, Gang
2004
The log term of the Szegö kernel. Zbl 1072.32014
Lu, Zhiqin; Tian, Gang
2004
The singular set of $$J$$-holomorphic maps into projective algebraic varieties. Zbl 1051.32015
Rivière, Tristan; Tian, Gang
2004
Analysis of geometric stability. Zbl 1076.32018
Paul, Sean T.; Tian, Gang
2004
Global existence of the $$m$$-equivariant Yang-Mills flow in four-dimensional spaces. Zbl 1068.58006
Hong, Minchun; Tian, Gang
2004
Infinite geodesic rays in the space of Kähler potentials. Zbl 1170.32312
Arezzo, Claudio; Tian, Gang
2003
Quadratic recursion relations of Hodge intervals via localization. Zbl 1034.53093
Tian, Gang; Zhou, Jian
2003
Ricci flow on Kähler-Einstein surfaces. Zbl 1047.53043
Chen, Xiuxiong; Tian, Gang
2002
On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046
Cheeger, J.; Colding, T. H.; Tian, G.
2002
A new holomorphic invariant and uniqueness of Kähler-Ricci solitons. Zbl 1036.53053
Tian, Gang; Zhu, Xiaohua
2002
Two-dimensional graphs moving by mean curvature flow. Zbl 1028.53069
Chen, Jing Yi; Li, Jia Yu; Tian, Gang
2002
Extremal metrics and geometric stability. Zbl 1026.53023
Tian, Gang
2002
Compactification of the moduli spaces of vortices and coupled vortices. Zbl 1022.53025
Tian, Gang; Yang, Baozhong
2002
Geometry and nonlinear analysis. Zbl 1046.53030
Tian, Gang
2002
Weierstrass polynomials and plane pseudo-holomorphic curves. Zbl 1003.32006
Siebert, B.; Tian, Gang
2002
Constructing symplectic invariants. Zbl 1003.53060
Tian, Gang
2002
Elliptic Yang-Mills equation. Zbl 1070.58015
Tian, Gang
2002
Symplectic isotopy in four dimension. Zbl 1054.53099
Tian, Gang
2001
Ricci flow on Kähler manifolds. Zbl 0982.53065
Chen, Xiuxiong; Tian, Gang
2001
...and 68 more Documents
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#### Cited by 1,735 Authors

 71 Tian, Gang 38 Chen, Xiuxiong 33 Li, Jiayu 28 Streets, Jeffrey D. 26 Zhang, Xi 26 Zhu, Xiaohua 25 Cheltsov, Ivan Anatol’evich 25 Loi, Andrea 23 Zinger, Aleksey 19 Song, Jian 18 Arezzo, Claudio 17 Berman, Robert J. 16 Li, Chi 16 Pandharipande, Rahul 16 Tosatti, Valentino 16 Weinkove, Ben 15 Chen, Bohui 15 Sun, Song 14 Guedj, Vincent 14 Han, Xiaoli 14 Jost, Jürgen 14 Xu, Chenyang 13 Rubinstein, Yanir A. 13 Székelyhidi, Gábor 13 Yau, Shing-Tung 13 Zeriahi, Ahmed 13 Zhu, Miaomiao 13 Zuddas, Fabio 12 Li, An-Min 12 Sheng, Li 12 Wang, Bing 12 Zhang, Zhou 11 He, Weiyong 11 Li, Jun 11 Ross, Julius 11 Vezzoni, Luigi 11 Viaclovsky, Jeff A. 10 Chen, Jingyi 10 Ciocan-Fontanine, Ionuţ 10 Darvas, Tamás 10 Fujita, Kento 10 LeBrun, Claude R. 10 Lu, Zhiqin 10 Mabuchi, Toshiki 10 Popov, Alexander D. 10 Rivière, Tristan 10 Shramov, Konstantin Aleksandrovich 10 Wang, Guofang 10 Zhang, Yuguang 10 Zhou, Bin 9 Angella, Daniele 9 Ben Abdesselem, Adnène 9 Cheeger, Jeff 9 Collins, Tristan Clifford 9 Kiem, Young-Hoon 9 Kim, Bumsig 9 Leung, Naichung Conan 9 Li, Haozhao 9 Liu, Kefeng 9 Park, Jihun 8 Apostolov, Vestislav 8 Boucksom, Sébastien 8 Huang, Hongnian 8 Lechtenfeld, Olaf 8 Liu, Jiawei 8 Liu, Lei 8 Marinescu, George 8 Naber, Aaron C. 8 Odaka, Yuji 8 Phong, Duong Hong 8 Tam, Luen-Fai 8 Wang, Yanqing 8 Yang, Xiao-Kui 8 Yin, Hao 7 Berndtsson, Bo 7 Cao, Huai-Dong 7 Della Vedova, Alberto 7 Dervan, Ruadhaí 7 Eyssidieux, Philippe 7 Feng, Renjie 7 Fino, Anna 7 Guan, Qi’an 7 Hong, Minchun 7 Hu, Jianxun 7 Li, Wei-Ping 7 Moser, Roger 7 Nakagawa, Yasuhiro 7 Paoletti, Roberto 7 Sano, Yuji 7 Shi, Yalong 7 Thomas, Richard Paul 7 Tomassini, Adriano 7 Xu, Guangbo 7 Yan, Weiping 7 Zedda, Michela 7 Zhang, Chuanjing 7 Zhang, Yashan 7 Zhang, Zhenlei 6 Biswas, Indranil 6 Brendle, Simon ...and 1,635 more Authors
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#### Cited in 250 Serials

 152 Advances in Mathematics 113 The Journal of Geometric Analysis 89 Mathematische Annalen 80 Transactions of the American Mathematical Society 70 Calculus of Variations and Partial Differential Equations 67 Communications in Mathematical Physics 65 Geometry & Topology 62 Mathematische Zeitschrift 57 Duke Mathematical Journal 56 Journal of Geometry and Physics 56 Journal of Functional Analysis 55 Proceedings of the American Mathematical Society 54 International Journal of Mathematics 51 Inventiones Mathematicae 42 Journal für die Reine und Angewandte Mathematik 41 Annals of Global Analysis and Geometry 38 Journal of the American Mathematical Society 32 Differential Geometry and its Applications 32 Acta Mathematica Sinica. English Series 31 Comptes Rendus. Mathématique. Académie des Sciences, Paris 29 Annales de l’Institut Fourier 26 Compositio Mathematica 25 Journal of Differential Equations 25 Communications in Contemporary Mathematics 24 Geometric and Functional Analysis. GAFA 23 Annals of Mathematics. Second Series 21 Journal of High Energy Physics 21 Science China. Mathematics 20 Manuscripta Mathematica 20 Chinese Annals of Mathematics. Series B 18 Geometriae Dedicata 17 Journal of Algebraic Geometry 17 Algebraic & Geometric Topology 16 Journal of Mathematical Analysis and Applications 16 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Topology and its Applications 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 Journal of the European Mathematical Society (JEMS) 13 Communications on Pure and Applied Mathematics 13 Nuclear Physics. B 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Osaka Journal of Mathematics 12 Tohoku Mathematical Journal. Second Series 12 Communications in Partial Differential Equations 12 Communications in Mathematics and Statistics 12 Complex Manifolds 11 Letters in Mathematical Physics 11 Acta Mathematica 11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 11 Selecta Mathematica. New Series 10 Publications Mathématiques 10 Pacific Journal of Mathematics 10 European Journal of Mathematics 9 Journal of Mathematical Physics 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Bulletin des Sciences Mathématiques 9 Discrete and Continuous Dynamical Systems 8 Journal of the Mathematical Society of Japan 8 Results in Mathematics 8 Bulletin of the American Mathematical Society. New Series 8 Frontiers of Mathematics in China 7 Journal of the Institute of Mathematics of Jussieu 7 International Journal of Geometric Methods in Modern Physics 7 Kyoto Journal of Mathematics 7 Bollettino dell’Unione Matematica Italiana 6 Israel Journal of Mathematics 6 Illinois Journal of Mathematics 6 Journal of Differential Geometry 6 Nagoya Mathematical Journal 6 Science in China. Series A 6 Transformation Groups 5 Arkiv för Matematik 5 Archiv der Mathematik 5 Bulletin of the London Mathematical Society 5 Journal of the London Mathematical Society. Second Series 5 Memoirs of the American Mathematical Society 5 Michigan Mathematical Journal 5 Proceedings of the Japan Academy. Series A 5 Revista Matemática Iberoamericana 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Forum of Mathematics, Sigma 4 General Relativity and Gravitation 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Acta Mathematica Vietnamica 4 Journal of Algebra 4 Journal of Pure and Applied Algebra 4 Kodai Mathematical Journal 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Potential Analysis 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Oberwolfach Reports 4 Analysis & PDE 4 Journal of Gökova Geometry Topology GGT 4 Journal of Topology and Analysis 4 Japanese Journal of Mathematics. 3rd Series 4 Peking Mathematical Journal 3 Archive for Rational Mechanics and Analysis 3 Journal of Computational Physics 3 Theoretical and Mathematical Physics 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg ...and 150 more Serials
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#### Cited in 51 Fields

 1,464 Differential geometry (53-XX) 682 Several complex variables and analytic spaces (32-XX) 620 Algebraic geometry (14-XX) 418 Global analysis, analysis on manifolds (58-XX) 332 Partial differential equations (35-XX) 194 Manifolds and cell complexes (57-XX) 116 Quantum theory (81-XX) 67 Relativity and gravitational theory (83-XX) 56 Fluid mechanics (76-XX) 55 Dynamical systems and ergodic theory (37-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 37 Algebraic topology (55-XX) 32 Functions of a complex variable (30-XX) 28 Functional analysis (46-XX) 26 Probability theory and stochastic processes (60-XX) 23 Group theory and generalizations (20-XX) 19 Ordinary differential equations (34-XX) 18 Combinatorics (05-XX) 18 Statistical mechanics, structure of matter (82-XX) 17 Operator theory (47-XX) 15 Mechanics of particles and systems (70-XX) 14 Nonassociative rings and algebras (17-XX) 14 Potential theory (31-XX) 13 Topological groups, Lie groups (22-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 9 Commutative algebra (13-XX) 8 History and biography (01-XX) 8 Number theory (11-XX) 8 $$K$$-theory (19-XX) 8 Geometry (51-XX) 8 Convex and discrete geometry (52-XX) 8 General topology (54-XX) 7 General and overarching topics; collections (00-XX) 7 Category theory; homological algebra (18-XX) 7 Real functions (26-XX) 6 Measure and integration (28-XX) 6 Special functions (33-XX) 5 Associative rings and algebras (16-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 4 Optics, electromagnetic theory (78-XX) 3 Numerical analysis (65-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 Field theory and polynomials (12-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

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