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Tian, Gang

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Author ID: tian.gang Recent zbMATH articles by "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
all top 5

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

Publications by Year

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
263
1997
On a set of polarized Kähler metrics on algebraic manifolds. Zbl 0706.53036
Tian, Gang
167
1990
On Calabi’s conjecture for complex surfaces with positive first Chern class. Zbl 0716.32019
Tian, G.
158
1990
On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\). Zbl 0599.53046
Tian, Gang
154
1987
Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties. Zbl 0912.14004
Li, Jun; Tian, Gang
125
1998
A mathematical theory of quantum cohomology. Zbl 0860.58005
Ruan, Yongbin; Tian, Gang
109
1995
Ricci flow and the Poincaré conjecture. Zbl 1179.57045
Morgan, John; Tian, Gang
109
2007
Gauge theory and calibrated geometry. I. Zbl 0957.58013
Tian, Gang
93
2000
K-stability and Kähler-Einstein metrics. Zbl 1318.14038
Tian, Gang
91
2015
On the Kähler-Ricci flow on projective manifolds of general type. Zbl 1102.53047
Tian, Gang; Zhang, Zhou
90
2006
Energy identity for a class of approximate harmonic maps from surfaces. Zbl 0855.58016
Ding, Weiyue; Tian, Gang
82
1995
A parabolic flow of pluriclosed metrics. Zbl 1198.53077
Streets, Jeffrey; Tian, Gang
80
2010
Canonical metrics in Kähler geometry. Notes taken by Meike Akveld. Zbl 0978.53002
Tian, Gang
76
2000
The Kähler-Ricci flow on surfaces of positive Kodaira dimension. Zbl 1134.53040
Song, Jian; Tian, Gang
76
2007
Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\). Zbl 0631.53052
Tian, Gang; Yau, Shing Tung
73
1987
Convergence of Kähler-Ricci flow. Zbl 1185.53078
Tian, Gang; Zhu, Xiaohua
72
2007
Geometry of Kähler metrics and foliations by holomorphic discs. Zbl 1182.32009
Chen, Xiuxiong; Tian, Gang
71
2008
Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds. Zbl 0978.53136
Li, Jun; Tian, Gang
67
1998
Canonical measures and Kähler-Ricci flow. Zbl 1239.53086
Song, Jian; Tian, Gang
63
2012
Complete Kähler manifolds with zero Ricci curvature. I. Zbl 0719.53041
Tian, G.; Yau, Shing Tung
63
1990
Ricci flow on Kähler-Einstein surfaces. Zbl 1047.53043
Chen, Xiuxiong; Tian, Gang
61
2002
On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046
Cheeger, J.; Colding, T. H.; Tian, G.
61
2002
Complete Kähler manifolds with zero Ricci curvature. II. Zbl 0766.53053
Tian, Gang; Yau, Shing Tung
60
1991
Bounding scalar curvature and diameter along the Kähler Ricci flow (after Perelman). Zbl 1147.53056
Sesum, Natasa; Tian, Gang
60
2008
Kähler-Einstein metrics and the generalized Futaki invariant. Zbl 0779.53044
Ding, Weiyue; Tian, Gang
58
1992
Uniqueness of Kähler-Ricci solitons. Zbl 1036.53052
Tian, Gang; Zhu, Xiaohua
52
2000
Bubbling of the heat flows for harmonic maps from surfaces. Zbl 0879.58017
Qing, Jie; Tian, Gang
52
1997
A new holomorphic invariant and uniqueness of Kähler-Ricci solitons. Zbl 1036.53053
Tian, Gang; Zhu, Xiaohua
51
2002
On quantum cohomology rings of Fano manifolds and a formula of Vafa and Intriligator. Zbl 0974.14040
Siebert, Bernd; Tian, Gang
50
1997
Floer homology and Arnold conjecture. Zbl 0917.58009
Liu, Gang; Tian, Gang
50
1998
Hermitian curvature flow. Zbl 1214.53055
Streets, Jeffrey; Tian, Gang
48
2011
Liouville equation and spherical convex polytopes. Zbl 0806.53012
Luo, Feng; Tian, Gang
47
1992
Bach-flat asymptotically locally Euclidean metrics. Zbl 1085.53030
Tian, Gang; Viaclovsky, Jeff
45
2005
Gradient estimation on Navier-Stokes equations. Zbl 0939.35139
Tian, Gang; Xin, Zhouping
43
1999
Regularity results for pluriclosed flow. Zbl 1272.32022
Streets, Jeffrey; Tian, Gang
42
2013
The Kähler-Ricci flow through singularities. Zbl 1440.53116
Song, Jian; Tian, Gang
41
2017
Moduli spaces of critical Riemannian metrics in dimension four. Zbl 1252.53045
Tian, Gang; Viaclovsky, Jeff
40
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
37
1994
A singularity removal theorem for Yang-Mills fields in higher dimensions. Zbl 1086.53043
Tao, Terence; Tian, Gang
36
2004
Higher genus symplectic invariants and sigma models coupled with gravity. Zbl 0904.58066
Ruan, Yongbin; Tian, Gang
34
1997
Asymptotical behaviour of the Yang-Mills flow and singular Yang-Mills connections. Zbl 1073.53084
Hong, Min-Chun; Tian, Gang
33
2004
Existence of Einstein metrics on Fano manifolds. Zbl 1250.53044
Tian, Gang
32
2012
The K-energy on hypersurfaces and stability. Zbl 0846.32019
Tian, Gang
30
1994
On the holomorphicity of genus two Lefschetz fibrations. Zbl 1090.53072
Siebert, Bernd; Tian, Gang
30
2005
Ricci flow on Kähler-Einstein manifolds. Zbl 1097.53045
Chen, Xiuxiong; Tian, Gang
30
2006
The geometrization conjecture. Zbl 1302.53001
Morgan, John; Tian, Gang
26
2014
A note on uniformization of Riemann surfaces by Ricci flow. Zbl 1113.53042
Chen, Xiuxiong; Lu, Peng; Tian, Gang
26
2006
Kähler-Einstein metrics on algebraic manifolds. Zbl 0896.32003
Tian, Gang
25
1996
Existence of Kähler-Einstein metrics on complete Kähler manifolds and their applications to algebraic geometry. Zbl 0682.53064
Tian, G.; Yau, S. T.
25
1987
Smoothness of the universal deformation space of compact Calabi-Yau manifolds and its Peterson-Weil metric. Zbl 0696.53040
Tian, Gang
25
1987
Compactification of moduli space of harmonic mappings. Zbl 0958.53047
Chen, Jingyi; Tian, Gang
25
1999
On stability of the tangent bundles of Fano varieties. Zbl 0779.53009
Tian, Gang
23
1992
Regularity of Kähler-Ricci flows on Fano manifolds. Zbl 1356.53067
Tian, Gang; Zhang, Zhenlei
22
2016
CM stability and the generalized Futaki invariant. II. Zbl 1204.53061
Paul, Sean Timothy; Tian, Gang
22
2009
Kähler-Ricci solitons on compact complex manifolds with \(C_{1}( M ) > 0\). Zbl 1084.53035
Cao, Huai-Dong; Tian, Gang; Zhu, Xiaohua
21
2005
The log term of the Szegö kernel. Zbl 1072.32014
Lu, Zhiqin; Tian, Gang
21
2004
One-point singular solutions to the Navier-Stokes equations. Zbl 0923.35121
Tian, Gang; Xin, Zhouping
21
1998
Generalized Kähler geometry and the pluriclosed flow. Zbl 1246.53091
Streets, Jeffrey; Tian, Gang
21
2012
A nonlinear inequality of Moser-Trudinger type. Zbl 0987.32017
Tian, Gang; Zhu, Xiaohua
20
2000
Stability of complex vector bundles. Zbl 0853.32033
De Bartolomeis, Paolo; Tian, Gang
20
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
20
2007
Curvature and injectivity radius estimates for Einstein 4-manifolds. Zbl 1092.53034
Cheeger, Jeff; Tian, Gang
20
2006
Convergence of the Kähler-Ricci flow on Fano manifolds. Zbl 1276.14061
Tian, Gang; Zhu, Xiaohua
19
2013
Perelman’s entropy and Kähler-Ricci flow on a Fano manifold. Zbl 1298.53037
Tian, Gang; Zhang, Shijin; Zhang, Zhenlei; Zhu, Xiaohua
18
2013
On the heat kernel of the Bergmann metric on algebraic varieties. Zbl 0864.58058
Li, Peter; Tian, Gang
18
1995
Two-dimensional graphs moving by mean curvature flow. Zbl 1028.53069
Chen, Jing Yi; Li, Jia Yu; Tian, Gang
18
2002
A compactification of the moduli space of twisted holomorphic maps. Zbl 1177.32007
Mundet i Riera, I.; Tian, G.
17
2009
On hyperelliptic \(C^\infty\)-Lefschetz fibrations of four-manifolds. Zbl 0948.57018
Siebert, Bernd; Tian, Gang
16
1999
Smoothing 3-folds with trivial canonical bundle and ordinary double points. Zbl 0829.32012
Tian, Gang
16
1992
Moving symplectic curves in Kähler-Einstein surfaces. Zbl 0979.53078
Chen, Jingyi; Tian, Gang
16
2000
The generalized Moser-Trudinger inequality. Zbl 1049.53507
Ding, Weiyue; Tian, Gang
16
1992
On the weak Kähler-Ricci flow. Zbl 1219.53064
Chen, Xiuxiong; Tian, Gang; Zhang, Z.
16
2011
The singular set of 1-1 integral currents. Zbl 1182.32010
Rivière, Tristan; Tian, Gang
16
2009
Rigidity of asymptotically hyperbolic manifolds. Zbl 1092.53033
Shi, Yuguang; Tian, Gang
16
2005
On smoothness of timelike maximal cylinders in three-dimensional vacuum spacetimes. Zbl 1273.83122
Nguyen, Luc; Tian, Gang
15
2013
Bott-Chern forms and geometric stability. Zbl 1022.32009
Tian, Gang
15
2000
A mathematical theory of quantum cohomology. Zbl 0860.58006
Ruan, Yongbin; Tian, Gang
15
1994
Bounding scalar curvature for global solutions of the Kähler-Ricci flow. Zbl 1377.53087
Song, Jian; Tian, Gang
15
2016
Minimal surfaces in Riemannian 4-manifolds. Zbl 0891.53042
Chen, J.; Tian, G.
14
1997
On the existence of solutions of a class of Monge-Ampère equations. Zbl 0665.35027
Tian, Gang
14
1988
Weinstein conjecture and GW-invariants. Zbl 1008.53071
Liu, Gang; Tian, Gang
14
2000
Translating solutions to Lagrangian mean curvature flow. Zbl 1282.53057
Neves, André; Tian, Gang
14
2013
Degeneration of Kähler-Ricci solitons. Zbl 1244.53055
Tian, Gang; Zhang, Zhenlei
14
2012
Volume growth, curvature decay, and critical metrics. Zbl 1154.53024
Tian, Gang; Viaclovsky, Jeff
13
2008
New results and problems on Kähler-Ricci flow. Zbl 1180.53067
Tian, Gang
13
2008
The singular set of \(J\)-holomorphic maps into projective algebraic varieties. Zbl 1051.32015
Rivière, Tristan; Tian, Gang
12
2004
On the equivalence of multiplicative structures in Floer homology and quantum homology. Zbl 0928.53041
Liu, Gang; Tian, Gang
12
1999
Virasoro constraints for quantum cohomology. Zbl 0943.58008
Liu, Xiaobo; Tian, Gang
12
1998
On the structure of almost Einstein manifolds. Zbl 1320.53052
Tian, Gang; Wang, Bing
12
2015
The blow-up locus of heat flows for harmonic maps. Zbl 0959.58021
Li, Jiayu; Tian, Gang
11
2000
Bott-type symplectic Floer cohomology and its multiplication structures. Zbl 0844.57023
Ruan, Yongbin; Tian, Gang
11
1995
Extremal metrics and geometric stability. Zbl 1026.53023
Tian, Gang
11
2002
Quantum cohomology and its associativity. Zbl 0877.58060
Tian, Gang
11
1995
Uniqueness of extremal Kähler metrics. Zbl 1069.32017
Chen, Xiuxiong; Tian, Gang
11
2005
A blow-up formula for stationary harmonic maps. Zbl 0944.58010
Li, Jiayu; Tian, Gang
11
1998
Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds. II. Zbl 1194.53026
Neves, André; Tian, Gang
11
2010
Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds. Zbl 1187.53027
Neves, André; Tian, Gang
11
2009
Infinite geodesic rays in the space of Kähler potentials. Zbl 1170.32312
Arezzo, Claudio; Tian, Gang
10
2003
Convergence of Kähler-Ricci flow on lower-dimensional algebraic manifolds of general type. Zbl 1404.53085
Tian, Gang; Zhang, Zhenlei
9
2016
Partial \(C^0\)-estimate for Kähler-Einstein metrics. Zbl 1280.32014
Tian, Gang
9
2013
On the Yau-Tian-Donaldson conjecture for singular Fano varieties. Zbl 07382001
Li, Chi; Tian, Gang; Wang, Feng
2
2021
On the existence of conic Kähler-Einstein metrics. Zbl 1457.53052
Tian, Gang; Wang, Feng
3
2020
Small gaps of GOE. Zbl 1434.60025
Feng, Renjie; Tian, Gang; Wei, Dongyi
4
2019
Uniqueness of the mean field equation and rigidity of Hawking mass. Zbl 1414.35092
Shi, Yuguang; Sun, Jiacheng; Tian, Gang; Wei, Dongyi
3
2019
Spectrum of SYK model. Zbl 1431.83091
Feng, Renjie; Tian, Gang; Wei, Dongyi
3
2019
Some progresses on Kähler-Ricci flow. Zbl 1417.53078
Tian, Gang
1
2019
Analysis of gauged Witten equation. Zbl 1411.32017
Tian, Gang; Xu, Guangbo
5
2018
Geometric structures of collapsing Riemannian manifolds. II. Zbl 1403.53036
Naber, Aaron; Tian, Gang
3
2018
The Kähler-Ricci flow through singularities. Zbl 1440.53116
Song, Jian; Tian, Gang
41
2017
Bounding diameter of singular Kähler metric. Zbl 1385.53063
La Nave, Gabriele; Tian, Gang; Zhang, Zhenlei
7
2017
A third derivative estimate for Monge-Ampere equations with conic singularities. Zbl 1376.32040
Tian, Gang
6
2017
K-stability implies CM-stability. Zbl 1376.32012
Tian, Gang
2
2017
The symplectic approach of gauged linear \(\sigma\)-model. Zbl 1384.53072
Tian, Gang; Xu, Guangbo
1
2017
Regularity of Kähler-Ricci flows on Fano manifolds. Zbl 1356.53067
Tian, Gang; Zhang, Zhenlei
22
2016
Bounding scalar curvature for global solutions of the Kähler-Ricci flow. Zbl 1377.53087
Song, Jian; Tian, Gang
15
2016
Convergence of Kähler-Ricci flow on lower-dimensional algebraic manifolds of general type. Zbl 1404.53085
Tian, Gang; Zhang, Zhenlei
9
2016
A continuity method to construct canonical metrics. Zbl 1351.53085
La Nave, Gabriele; Tian, Gang
8
2016
Soliton-type metrics and Kähler-Ricci flow on symplectic quotients. Zbl 1339.53069
La Nave, Gabriele; Tian, Gang
7
2016
Correlation functions of gauged linear \(\sigma\)-model. Zbl 1351.53109
Tian, Gang; Xu, GuangBo
2
2016
Notes on Kähler-Ricci flow. Zbl 1410.53069
Tian, Gang
1
2016
K-stability and Kähler-Einstein metrics. Zbl 1318.14038
Tian, Gang
91
2015
On the structure of almost Einstein manifolds. Zbl 1320.53052
Tian, Gang; Wang, Bing
12
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
6
2015
Corrigendum: K-stability and Kähler-Einstein metrics. Zbl 1330.14071
Tian, Gang
6
2015
Kähler-Einstein metrics on Fano manifolds. Zbl 1330.53094
Tian, Gang
2
2015
A compactness result for Fano manifolds and Kähler Ricci flows. Zbl 1325.32024
Tian, Gang; Zhang, Qi S.
2
2015
The geometrization conjecture. Zbl 1302.53001
Morgan, John; Tian, Gang
26
2014
Symplectic curvature flow. Zbl 1305.53083
Streets, Jeffrey; Tian, Gang
9
2014
Isoperimetric inequality under Kähler Ricci flow. Zbl 1317.53091
Tian, Gang; Zhang, Qi S.
4
2014
Regularity results for pluriclosed flow. Zbl 1272.32022
Streets, Jeffrey; Tian, Gang
42
2013
Convergence of the Kähler-Ricci flow on Fano manifolds. Zbl 1276.14061
Tian, Gang; Zhu, Xiaohua
19
2013
Perelman’s entropy and Kähler-Ricci flow on a Fano manifold. Zbl 1298.53037
Tian, Gang; Zhang, Shijin; Zhang, Zhenlei; Zhu, Xiaohua
18
2013
On smoothness of timelike maximal cylinders in three-dimensional vacuum spacetimes. Zbl 1273.83122
Nguyen, Luc; Tian, Gang
15
2013
Translating solutions to Lagrangian mean curvature flow. Zbl 1282.53057
Neves, André; Tian, Gang
14
2013
Partial \(C^0\)-estimate for Kähler-Einstein metrics. Zbl 1280.32014
Tian, Gang
9
2013
Regularity of the Kähler-Ricci flow. Zbl 1278.53073
Tian, Gang; Zhang, Zhenlei
3
2013
Canonical measures and Kähler-Ricci flow. Zbl 1239.53086
Song, Jian; Tian, Gang
63
2012
Existence of Einstein metrics on Fano manifolds. Zbl 1250.53044
Tian, Gang
32
2012
Generalized Kähler geometry and the pluriclosed flow. Zbl 1246.53091
Streets, Jeffrey; Tian, Gang
21
2012
Degeneration of Kähler-Ricci solitons. Zbl 1244.53055
Tian, Gang; Zhang, Zhenlei
14
2012
Hermitian curvature flow. Zbl 1214.53055
Streets, Jeffrey; Tian, Gang
48
2011
On the weak Kähler-Ricci flow. Zbl 1219.53064
Chen, Xiuxiong; Tian, Gang; Zhang, Z.
16
2011
Geometric structures of collapsing Riemannian manifolds. Zbl 1261.53043
Naber, Aaron; Tian, Gang
6
2011
Regularity theory for pluriclosed flow. (Théorie de la régularité pour un flot multifermé.) Zbl 1207.53069
Streets, Jeffrey; Tian, Gang
5
2011
A parabolic flow of pluriclosed metrics. Zbl 1198.53077
Streets, Jeffrey; Tian, Gang
80
2010
Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds. II. Zbl 1194.53026
Neves, André; Tian, Gang
11
2010
Virtual manifolds and localization. Zbl 1209.57025
Chen, Bohui; Tian, Gang
7
2010
Finite-time singularity of Kähler-Ricci flow. Zbl 1193.53144
Tian, Gang
6
2010
CM stability and the generalized Futaki invariant. II. Zbl 1204.53061
Paul, Sean Timothy; Tian, Gang
22
2009
A compactification of the moduli space of twisted holomorphic maps. Zbl 1177.32007
Mundet i Riera, I.; Tian, G.
17
2009
The singular set of 1-1 integral currents. Zbl 1182.32010
Rivière, Tristan; Tian, Gang
16
2009
Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds. Zbl 1187.53027
Neves, André; Tian, Gang
11
2009
A note on Kähler-Ricci soliton. Zbl 1177.53037
Chen, Xiuxiong; Sun, Song; Tian, Gang
8
2009
Orientability and real Seibert-Witten invariants. Zbl 1184.57025
Tian, Gang; Wang, Shuguang
2
2009
Geometry of Kähler metrics and foliations by holomorphic discs. Zbl 1182.32009
Chen, Xiuxiong; Tian, Gang
71
2008
Bounding scalar curvature and diameter along the Kähler Ricci flow (after Perelman). Zbl 1147.53056
Sesum, Natasa; Tian, Gang
60
2008
Volume growth, curvature decay, and critical metrics. Zbl 1154.53024
Tian, Gang; Viaclovsky, Jeff
13
2008
New results and problems on Kähler-Ricci flow. Zbl 1180.53067
Tian, Gang
13
2008
A uniform \(L^{\infty}\) estimate for complex Monge-Ampère equations. Zbl 1159.32022
Kołodziej, Sławomir; Tian, Gang
5
2008
Constructing virtual Euler cycles and classes. Zbl 1175.58001
Lu, Guangcun; Tian, Gang
4
2008
Lectures on pseudo-holomorphic curves and the symplectic isotopy problem. Zbl 1145.14012
Siebert, Bernd; Tian, Gang
2
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
1
2008
Ricci flow and the Poincaré conjecture. Zbl 1179.57045
Morgan, John; Tian, Gang
109
2007
The Kähler-Ricci flow on surfaces of positive Kodaira dimension. Zbl 1134.53040
Song, Jian; Tian, Gang
76
2007
Convergence of Kähler-Ricci flow. Zbl 1185.53078
Tian, Gang; Zhu, Xiaohua
72
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
20
2007
On the Kähler-Ricci flow on projective manifolds of general type. Zbl 1102.53047
Tian, Gang; Zhang, Zhou
90
2006
Ricci flow on Kähler-Einstein manifolds. Zbl 1097.53045
Chen, Xiuxiong; Tian, Gang
30
2006
A note on uniformization of Riemann surfaces by Ricci flow. Zbl 1113.53042
Chen, Xiuxiong; Lu, Peng; Tian, Gang
26
2006
Curvature and injectivity radius estimates for Einstein 4-manifolds. Zbl 1092.53034
Cheeger, Jeff; Tian, Gang
20
2006
Aspects of metric geometry of four manifolds. Zbl 1145.53030
Tian, Gang
5
2006
Bach-flat asymptotically locally Euclidean metrics. Zbl 1085.53030
Tian, Gang; Viaclovsky, Jeff
45
2005
Moduli spaces of critical Riemannian metrics in dimension four. Zbl 1252.53045
Tian, Gang; Viaclovsky, Jeff
40
2005
On the holomorphicity of genus two Lefschetz fibrations. Zbl 1090.53072
Siebert, Bernd; Tian, Gang
30
2005
Kähler-Ricci solitons on compact complex manifolds with \(C_{1}( M ) > 0\). Zbl 1084.53035
Cao, Huai-Dong; Tian, Gang; Zhu, Xiaohua
21
2005
Rigidity of asymptotically hyperbolic manifolds. Zbl 1092.53033
Shi, Yuguang; Tian, Gang
16
2005
Uniqueness of extremal Kähler metrics. Zbl 1069.32017
Chen, Xiuxiong; Tian, Gang
11
2005
Anti-self-duality of curvature and degeneration of metrics with special holonomy. Zbl 1081.53038
Cheeger, Jeff; Tian, Gang
6
2005
An equivariant version of the \(K\)-energy. Zbl 1092.32013
Tian, Gang
5
2005
Partial regularity for homogeneous complex Monge-Ampère equations. Zbl 1152.32304
Chen, Xiuxiong; Tian, Gang
1
2005
A singularity removal theorem for Yang-Mills fields in higher dimensions. Zbl 1086.53043
Tao, Terence; Tian, Gang
36
2004
Asymptotical behaviour of the Yang-Mills flow and singular Yang-Mills connections. Zbl 1073.53084
Hong, Min-Chun; Tian, Gang
33
2004
The log term of the Szegö kernel. Zbl 1072.32014
Lu, Zhiqin; Tian, Gang
21
2004
The singular set of \(J\)-holomorphic maps into projective algebraic varieties. Zbl 1051.32015
Rivière, Tristan; Tian, Gang
12
2004
Analysis of geometric stability. Zbl 1076.32018
Paul, Sean T.; Tian, Gang
9
2004
Global existence of the \(m\)-equivariant Yang-Mills flow in four-dimensional spaces. Zbl 1068.58006
Hong, Minchun; Tian, Gang
7
2004
Infinite geodesic rays in the space of Kähler potentials. Zbl 1170.32312
Arezzo, Claudio; Tian, Gang
10
2003
Quadratic recursion relations of Hodge intervals via localization. Zbl 1034.53093
Tian, Gang; Zhou, Jian
2
2003
Ricci flow on Kähler-Einstein surfaces. Zbl 1047.53043
Chen, Xiuxiong; Tian, Gang
61
2002
On the singularities of spaces with bounded Ricci curvature. Zbl 1030.53046
Cheeger, J.; Colding, T. H.; Tian, G.
61
2002
A new holomorphic invariant and uniqueness of Kähler-Ricci solitons. Zbl 1036.53053
Tian, Gang; Zhu, Xiaohua
51
2002
Two-dimensional graphs moving by mean curvature flow. Zbl 1028.53069
Chen, Jing Yi; Li, Jia Yu; Tian, Gang
18
2002
Extremal metrics and geometric stability. Zbl 1026.53023
Tian, Gang
11
2002
Compactification of the moduli spaces of vortices and coupled vortices. Zbl 1022.53025
Tian, Gang; Yang, Baozhong
6
2002
Geometry and nonlinear analysis. Zbl 1046.53030
Tian, Gang
5
2002
Weierstrass polynomials and plane pseudo-holomorphic curves. Zbl 1003.32006
Siebert, B.; Tian, Gang
3
2002
Constructing symplectic invariants. Zbl 1003.53060
Tian, Gang
2
2002
Elliptic Yang-Mills equation. Zbl 1070.58015
Tian, Gang
2
2002
Symplectic isotopy in four dimension. Zbl 1054.53099
Tian, Gang
3
2001
Ricci flow on Kähler manifolds. Zbl 0982.53065
Chen, Xiuxiong; Tian, Gang
1
2001
...and 68 more Documents
all top 5

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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