Edit Profile (opens in new tab) Chen, Xiuxiong Co-Author Distance Author ID: chen.xiuxiong Published as: Chen, Xiuxiong; Chen, X. X.; Chen, X.-X.; Chen, Xiu-Xiong more...less Homepage: http://www.math.stonybrook.edu/~xiu/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 90 Publications since 1989, including 9 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 40 Co-Authors with 78 Joint Publications 1,077 Co-Co-Authors all top 5 Co-Authors 15 single-authored 12 Tian, Gang 11 Wang, Bing 8 Donaldson, Simon Kirwan 8 He, Weiyong 8 Sun, Song 6 Cheng, Jingrui 5 Wang, Yuanqi 4 Li, Haozhao 3 Calabi, Eugenio 3 Chen, Gao 2 Aleyasin, S. Ali 2 Chen, Qing 2 Weber, Brian 1 Berger, Marcel 1 Biquard, Olivier 1 Bourguignon, Jean-Pierre 1 Cheltsov, Ivan Anatol’evich 1 Darvas, Tamás 1 Ding, Weiyue 1 Feldman, Mikhail 1 Guan, Daniel Zhuang-Dan 1 Hu, Jingchen 1 Huang, Hongnian 1 Katzarkov, Ludmil 1 Lawson, Herbert Blaine jun. 1 LeBrun, Claude R. 1 Leeb, Bernhard 1 Li, Long 1 Li, Yu 1 Lu, Peng 1 Park, Jihun 1 Paun, Mihai 1 Păuni, Mihai 1 Peng, Chiakuei 1 Sheng, Li 1 Tang, Yudong 1 Wu, Yingyi 1 Yau, Shing-Tung 1 Yuan, Fang 1 Zeng, Yu 1 Zhang, Zhou 1 Zheng, Kai 1 Zhu, Meijun all top 5 Serials 8 IMRN. International Mathematics Research Notices 6 Journal of the American Mathematical Society 5 Journal of Differential Geometry 4 Journal für die Reine und Angewandte Mathematik 4 Mathematische Annalen 4 The Journal of Geometric Analysis 4 Calculus of Variations and Partial Differential Equations 3 Communications in Analysis and Geometry 2 Advances in Mathematics 2 Inventiones Mathematicae 2 Journal of Functional Analysis 2 Geometry & Topology 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Pure and Applied Mathematics Quarterly 1 Communications on Pure and Applied Mathematics 1 Acta Mathematica 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Annals of Global Analysis and Geometry 1 Geometric and Functional Analysis. GAFA 1 Journal of Partial Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Mathematical Research Letters 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 The Asian Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Oberwolfach Reports 1 Journal of Topology 1 Science China. Mathematics 1 Forum of Mathematics, Sigma 1 Springer Proceedings in Mathematics & Statistics 1 Communications in Mathematics and Statistics 1 Annales Mathématiques du Québec all top 5 Fields 68 Differential geometry (53-XX) 38 Several complex variables and analytic spaces (32-XX) 26 Global analysis, analysis on manifolds (58-XX) 18 Partial differential equations (35-XX) 11 Algebraic geometry (14-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 2,206 times in 1,004 Documents Cited by ▼ Year ▼ Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096 Chen, Xiuxiong; Donaldson, Simon; Sun, Song 229 2015 Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \(2\pi\) and completion of the main proof. Zbl 1311.53059 Chen, Xiuxiong; Donaldson, Simon; Sun, Song 217 2015 Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \(2\pi\). Zbl 1312.53097 Chen, Xiuxiong; Donaldson, Simon; Sun, Song 171 2015 The space of Kähler metrics. Zbl 1041.58003 Chen, Xiuxiong 167 2000 Geometry of Kähler metrics and foliations by holomorphic discs. Zbl 1182.32009 Chen, Xiuxiong; Tian, Gang 89 2008 On the lower bound of the Mabuchi energy and its application. Zbl 0980.58007 Chen, Xiuxiong 86 2000 On conformally Kähler, Einstein manifolds. Zbl 1208.53072 Chen, Xiuxiong; LeBrun, Claude; Weber, Brian 67 2008 Ricci flow on Kähler-Einstein surfaces. Zbl 1047.53043 Chen, Xiuxiong; Tian, Gang 66 2002 The space of Kähler metrics. II. Zbl 1067.58010 Calabi, E.; Chen, X. X. 50 2002 Space of Kähler metrics. III: On the lower bound of the Calabi energy and geodesic distance. Zbl 1163.58005 Chen, Xiuxiong 43 2009 On the constant scalar curvature Kähler metrics. II: Existence results. Zbl 1477.14067 Chen, Xiuxiong; Cheng, Jingrui 43 2021 On the Calabi flow. Zbl 1204.53050 Chen, X. X.; He, W. Y. 40 2008 Kähler-Einstein metrics and stability. Zbl 1331.32011 Chen, Xiuxiong; Donaldson, Simon; Sun, Song 40 2014 A note on uniformization of Riemann surfaces by Ricci flow. Zbl 1113.53042 Chen, Xiuxiong; Lu, Peng; Tian, Gang 39 2006 Kähler-Ricci flow, Kähler-Einstein metric, and K-stability. Zbl 1404.53058 Chen, Xiuxiong; Sun, Song; Wang, Bing 38 2018 Space of Ricci flows. I. Zbl 1252.53076 Chen, Xiuxiong; Wang, Bing 38 2012 On four-dimensional anti-self-dual gradient Ricci solitons. Zbl 1322.53041 Chen, Xiuxiong; Wang, Yuanqi 37 2015 On the constant scalar curvature Kähler metrics. I: A priori estimates. Zbl 1472.14042 Chen, Xiuxiong; Cheng, Jingrui 37 2021 Ricci flow on Kähler-Einstein manifolds. Zbl 1097.53045 Chen, Xiuxiong; Tian, Gang 33 2006 A new parabolic flow in Kähler manifolds. Zbl 1073.53089 Chen, X. X. 30 2004 Calabi flow in Riemann surfaces revisited: a new point of view. Zbl 1078.53065 Chen, X. X. 29 2001 Space of Ricci flows. II. Part B: Weak compactness of the flows. Zbl 1479.53103 Chen, Xiuxiong; Wang, Bing 27 2020 Approximation of weak geodesics and subharmonicity of Mabuchi energy. Zbl 1373.53097 Chen, Xiuxiong; Li, Long; Păuni, Mihai 26 2016 On the conditions to extend Ricci flow. III. Zbl 1317.53082 Chen, Xiuxiong; Wang, Bing 25 2013 Bessel functions, heat kernel and the conical Kähler-Ricci flow. Zbl 1326.53090 Chen, Xiuxiong; Wang, Yuanqi 24 2015 Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics. Zbl 1307.53058 Chen, Xiuxiong; Sun, Song 24 2014 On Kähler manifolds with positive orthogonal bisectional curvature. Zbl 1131.53038 Chen, X. X. 24 2007 Remarks on the existence of branch bubbles on the blowup analysis of equation \(-\Delta u= e^{2u}\) in dimension two. Zbl 0928.35051 Chen, Xiuxiong 24 1999 Space of Kähler metrics. V: Kähler quantization. Zbl 1252.53084 Chen, Xiuxiong; Sun, Song 23 2012 Gravitational instantons with faster than quadratic curvature decay. II. Zbl 1431.83014 Chen, Gao; Chen, Xiuxiong 22 2019 On the weak Kähler-Ricci flow. Zbl 1219.53064 Chen, Xiuxiong; Tian, Gang; Zhang, Z. 18 2011 Space of Ricci flows. II. Part A: Moduli of singular Calabi-Yau spaces. Zbl 1385.53033 Chen, Xiuxiong; Wang, Bing 17 2017 Weak limits of Riemannian metrics in surfaces with integral curvature bound. Zbl 0894.53040 Chen, Xiuxiong 17 1998 Obstruction to the existence of metric whose curvature has umbilical Hessian in a \(K\)-surface. Zbl 0971.53029 Chen, Xiuxiong 16 2000 Extremal Hermitian metrics on Riemann surfaces. Zbl 0947.53038 Chen, Xiuxiong 16 1999 The structure of HCMU metric in a \(K\)-surface. Zbl 1090.53036 Chen, Qing; Chen, Xiuxiong; Wu, Yingyi 16 2005 Moduli spaces of critical Riemannian metrics with \(L^{\frac{n}{2}}\) norm curvature bounds. Zbl 1205.53074 Chen, Xiuxiong; Weber, Brian 15 2011 The Calabi flow on Kähler surfaces with bounded Sobolev constant. I. Zbl 1254.53097 Chen, Xiuxiong; He, Weiyong 15 2012 Test configuration and geodesic rays. Zbl 1181.53058 Chen, Xiuxiong; Tang, Yudong 15 2008 The complex Monge-Ampère equation on compact Kähler manifolds. Zbl 1253.35070 Chen, Xiuxiong; He, Weiyong 14 2012 On the existence of constant scalar curvature Kähler metric: a new perspective. Zbl 1401.53028 Chen, Xiuxiong 14 2018 \(C^{2,\alpha}\)-estimate for Monge-Ampère equations with Hölder-continuous right hand side. Zbl 1347.35118 Chen, Xiuxiong; Wang, Yuanqi 13 2016 Uniqueness of extremal Kähler metrics. Zbl 1069.32017 Chen, Xiuxiong; Tian, Gang 13 2005 The Calabi flow on toric Fano surfaces. Zbl 1221.53103 Chen, Xiuxiong; He, Weiyong 13 2010 Gravitational instantons with faster than quadratic curvature decay. III. Zbl 1468.83010 Chen, Gao; Chen, Xiuxiong 13 2021 A note on Kähler-Ricci soliton. Zbl 1177.53037 Chen, Xiuxiong; Sun, Song; Tian, Gang 12 2009 Ricci flow on surfaces with degenerate initial metrics. Zbl 1174.53025 Chen, Xiuxiong; Ding, Weiyue 12 2007 The Kähler Ricci flow on Fano manifolds. I. Zbl 1257.53094 Chen, Xiuxiong; Wang, Bing 11 2012 On the long time behaviour of the conical Kähler-Ricci flows. Zbl 1403.53060 Chen, Xiuxiong; Wang, Yuanqi 11 2018 Gravitational instantons with faster than quadratic curvature decay. I. Zbl 1485.83007 Chen, Gao; Chen, Xiuxiong 11 2021 The space of volume forms. Zbl 1218.58008 Chen, Xiuxiong; He, Weiyong 10 2011 Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one. Zbl 1003.32003 Guan, Daniel; Chen, Xiuxiong 9 2000 On the regularity problem of complex Monge-Ampere equations with conical singularities. (Sur le problème de régularité de l’équation de Monge-Ampère complexe avec singularités coniques.) Zbl 1381.35056 Chen, Xiuxiong; Wang, Yuanqi 8 2017 Volume estimates for Kähler-Einstein metrics and rigidity of complex structures. Zbl 1281.32019 Chen, X.-X.; Donaldson, S. K. 8 2013 On the lower bound of energy functional \(E_1\). I: A stability theorem on the Kähler Ricci flow. Zbl 1103.53037 Chen, Xiuxiong 7 2006 Stability of Kähler-Ricci flow. Zbl 1185.53074 Chen, Xiuxiong; Li, Haozhao 7 2010 Remarks of weak-compactness along Kähler Ricci flow. Zbl 1442.53070 Chen, Xiuxiong; Wang, Bing 6 2019 Kähler-Ricci flow with small initial energy. Zbl 1169.53051 Chen, Xiuxiong; Li, Haozhao; Wang, Bing 6 2009 Deformation of surfaces preserving principal curvatures. Zbl 0682.53006 Chen, Xiuxiong; Peng, Chiakuei 5 1989 Extremal Hermitian metrics on Riemannian surfaces. Zbl 0955.30032 Chen, Xiuxiong 5 1998 Some new estimates for the complex Monge-Ampère equation. Zbl 1435.32051 Chen, Xiuxiong; Cheng, Jingrui 4 2019 Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Zbl 1279.32020 Chen, X.-X.; Donaldson, S. K. 4 2013 Geodesic convexity of small neighborhood in the space of Kähler potentials. Zbl 1469.32016 Chen, Xiuxiong; Feldman, Mikhail; Hu, Jingchen 4 2020 The Kähler Ricci flow on Fano surfaces. I. Zbl 1237.53066 Chen, Xiuxiong; Wang, Bing 3 2012 Liouville energy on a topological two sphere. Zbl 1312.58006 Chen, Xiuxiong; Zhu, Meijun 3 2013 Compactness of Kähler metrics with bounds on Ricci curvature and \({\mathcal{I}}\) functional. Zbl 1420.53079 Chen, Xiuxiong; Darvas, Tamás; He, Weiyong 3 2019 The pseudo-Calabi flow. Zbl 1372.53075 Chen, Xiuxiong; Zheng, Kai 3 2013 Recent progress in Kähler geometry. Zbl 1040.53083 Chen, Xiuxiong 3 2002 Remarks on Kähler Ricci flow. Zbl 1185.53075 Chen, Xiuxiong; Wang, Bing 3 2010 Integral bounds on curvature and Gromov-Hausdorff limits. Zbl 1308.53057 Chen, X.-X.; Donaldson, S. K. 2 2014 A note on Ricci flow with Ricci curvature bounded below. Zbl 1457.53076 Chen, Xiuxiong; Yuan, Fang 2 2017 Partial regularity for homogeneous complex Monge-Ampère equations. Zbl 1152.32304 Chen, Xiuxiong; Tian, Gang 2 2005 The Kähler-Ricci flow on Kähler manifolds with 2-non-negative traceless bisectional curvature operator. Zbl 1153.53048 Chen, Xiuxiong; Li, Haozhao 2 2008 On the geometry of asymptotically flat manifolds. Zbl 1480.53052 Chen, Xiuxiong; Li, Yu 2 2021 A class of fully nonlinear equations. Zbl 1478.35116 Chen, Xiuxiong; He, Weiyong 2 2019 The interior regularity of the Calabi flow on a toric surface. Zbl 1355.53056 Chen, Xiuxiong; Huang, Hongnian; Sheng, Li 1 2016 Ricci flow on Kähler manifolds. Zbl 0982.53065 Chen, Xiuxiong; Tian, Gang 1 2001 The \(L^\infty\) estimates for parabolic complex Monge-Ampère and Hessian equations. Zbl 1532.35287 Chen, Xiuxiong; Cheng, Jingrui 1 2023 The \(L^\infty\) estimates for parabolic complex Monge-Ampère and Hessian equations. Zbl 1532.35287 Chen, Xiuxiong; Cheng, Jingrui 1 2023 On the constant scalar curvature Kähler metrics. II: Existence results. Zbl 1477.14067 Chen, Xiuxiong; Cheng, Jingrui 43 2021 On the constant scalar curvature Kähler metrics. I: A priori estimates. Zbl 1472.14042 Chen, Xiuxiong; Cheng, Jingrui 37 2021 Gravitational instantons with faster than quadratic curvature decay. III. Zbl 1468.83010 Chen, Gao; Chen, Xiuxiong 13 2021 Gravitational instantons with faster than quadratic curvature decay. I. Zbl 1485.83007 Chen, Gao; Chen, Xiuxiong 11 2021 On the geometry of asymptotically flat manifolds. Zbl 1480.53052 Chen, Xiuxiong; Li, Yu 2 2021 Space of Ricci flows. II. Part B: Weak compactness of the flows. Zbl 1479.53103 Chen, Xiuxiong; Wang, Bing 27 2020 Geodesic convexity of small neighborhood in the space of Kähler potentials. Zbl 1469.32016 Chen, Xiuxiong; Feldman, Mikhail; Hu, Jingchen 4 2020 Gravitational instantons with faster than quadratic curvature decay. II. Zbl 1431.83014 Chen, Gao; Chen, Xiuxiong 22 2019 Remarks of weak-compactness along Kähler Ricci flow. Zbl 1442.53070 Chen, Xiuxiong; Wang, Bing 6 2019 Some new estimates for the complex Monge-Ampère equation. Zbl 1435.32051 Chen, Xiuxiong; Cheng, Jingrui 4 2019 Compactness of Kähler metrics with bounds on Ricci curvature and \({\mathcal{I}}\) functional. Zbl 1420.53079 Chen, Xiuxiong; Darvas, Tamás; He, Weiyong 3 2019 A class of fully nonlinear equations. Zbl 1478.35116 Chen, Xiuxiong; He, Weiyong 2 2019 Kähler-Ricci flow, Kähler-Einstein metric, and K-stability. Zbl 1404.53058 Chen, Xiuxiong; Sun, Song; Wang, Bing 38 2018 On the existence of constant scalar curvature Kähler metric: a new perspective. Zbl 1401.53028 Chen, Xiuxiong 14 2018 On the long time behaviour of the conical Kähler-Ricci flows. Zbl 1403.53060 Chen, Xiuxiong; Wang, Yuanqi 11 2018 Space of Ricci flows. II. Part A: Moduli of singular Calabi-Yau spaces. Zbl 1385.53033 Chen, Xiuxiong; Wang, Bing 17 2017 On the regularity problem of complex Monge-Ampere equations with conical singularities. (Sur le problème de régularité de l’équation de Monge-Ampère complexe avec singularités coniques.) Zbl 1381.35056 Chen, Xiuxiong; Wang, Yuanqi 8 2017 A note on Ricci flow with Ricci curvature bounded below. Zbl 1457.53076 Chen, Xiuxiong; Yuan, Fang 2 2017 Approximation of weak geodesics and subharmonicity of Mabuchi energy. Zbl 1373.53097 Chen, Xiuxiong; Li, Long; Păuni, Mihai 26 2016 \(C^{2,\alpha}\)-estimate for Monge-Ampère equations with Hölder-continuous right hand side. Zbl 1347.35118 Chen, Xiuxiong; Wang, Yuanqi 13 2016 The interior regularity of the Calabi flow on a toric surface. Zbl 1355.53056 Chen, Xiuxiong; Huang, Hongnian; Sheng, Li 1 2016 Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096 Chen, Xiuxiong; Donaldson, Simon; Sun, Song 229 2015 Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \(2\pi\) and completion of the main proof. Zbl 1311.53059 Chen, Xiuxiong; Donaldson, Simon; Sun, Song 217 2015 Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \(2\pi\). Zbl 1312.53097 Chen, Xiuxiong; Donaldson, Simon; Sun, Song 171 2015 On four-dimensional anti-self-dual gradient Ricci solitons. Zbl 1322.53041 Chen, Xiuxiong; Wang, Yuanqi 37 2015 Bessel functions, heat kernel and the conical Kähler-Ricci flow. Zbl 1326.53090 Chen, Xiuxiong; Wang, Yuanqi 24 2015 Kähler-Einstein metrics and stability. Zbl 1331.32011 Chen, Xiuxiong; Donaldson, Simon; Sun, Song 40 2014 Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics. Zbl 1307.53058 Chen, Xiuxiong; Sun, Song 24 2014 Integral bounds on curvature and Gromov-Hausdorff limits. Zbl 1308.53057 Chen, X.-X.; Donaldson, S. K. 2 2014 On the conditions to extend Ricci flow. III. Zbl 1317.53082 Chen, Xiuxiong; Wang, Bing 25 2013 Volume estimates for Kähler-Einstein metrics and rigidity of complex structures. Zbl 1281.32019 Chen, X.-X.; Donaldson, S. K. 8 2013 Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Zbl 1279.32020 Chen, X.-X.; Donaldson, S. K. 4 2013 Liouville energy on a topological two sphere. Zbl 1312.58006 Chen, Xiuxiong; Zhu, Meijun 3 2013 The pseudo-Calabi flow. Zbl 1372.53075 Chen, Xiuxiong; Zheng, Kai 3 2013 Space of Ricci flows. I. Zbl 1252.53076 Chen, Xiuxiong; Wang, Bing 38 2012 Space of Kähler metrics. V: Kähler quantization. Zbl 1252.53084 Chen, Xiuxiong; Sun, Song 23 2012 The Calabi flow on Kähler surfaces with bounded Sobolev constant. I. Zbl 1254.53097 Chen, Xiuxiong; He, Weiyong 15 2012 The complex Monge-Ampère equation on compact Kähler manifolds. Zbl 1253.35070 Chen, Xiuxiong; He, Weiyong 14 2012 The Kähler Ricci flow on Fano manifolds. I. Zbl 1257.53094 Chen, Xiuxiong; Wang, Bing 11 2012 The Kähler Ricci flow on Fano surfaces. I. Zbl 1237.53066 Chen, Xiuxiong; Wang, Bing 3 2012 On the weak Kähler-Ricci flow. Zbl 1219.53064 Chen, Xiuxiong; Tian, Gang; Zhang, Z. 18 2011 Moduli spaces of critical Riemannian metrics with \(L^{\frac{n}{2}}\) norm curvature bounds. Zbl 1205.53074 Chen, Xiuxiong; Weber, Brian 15 2011 The space of volume forms. Zbl 1218.58008 Chen, Xiuxiong; He, Weiyong 10 2011 The Calabi flow on toric Fano surfaces. Zbl 1221.53103 Chen, Xiuxiong; He, Weiyong 13 2010 Stability of Kähler-Ricci flow. Zbl 1185.53074 Chen, Xiuxiong; Li, Haozhao 7 2010 Remarks on Kähler Ricci flow. Zbl 1185.53075 Chen, Xiuxiong; Wang, Bing 3 2010 Space of Kähler metrics. III: On the lower bound of the Calabi energy and geodesic distance. Zbl 1163.58005 Chen, Xiuxiong 43 2009 A note on Kähler-Ricci soliton. Zbl 1177.53037 Chen, Xiuxiong; Sun, Song; Tian, Gang 12 2009 Kähler-Ricci flow with small initial energy. Zbl 1169.53051 Chen, Xiuxiong; Li, Haozhao; Wang, Bing 6 2009 Geometry of Kähler metrics and foliations by holomorphic discs. Zbl 1182.32009 Chen, Xiuxiong; Tian, Gang 89 2008 On conformally Kähler, Einstein manifolds. Zbl 1208.53072 Chen, Xiuxiong; LeBrun, Claude; Weber, Brian 67 2008 On the Calabi flow. Zbl 1204.53050 Chen, X. X.; He, W. Y. 40 2008 Test configuration and geodesic rays. Zbl 1181.53058 Chen, Xiuxiong; Tang, Yudong 15 2008 The Kähler-Ricci flow on Kähler manifolds with 2-non-negative traceless bisectional curvature operator. Zbl 1153.53048 Chen, Xiuxiong; Li, Haozhao 2 2008 On Kähler manifolds with positive orthogonal bisectional curvature. Zbl 1131.53038 Chen, X. X. 24 2007 Ricci flow on surfaces with degenerate initial metrics. Zbl 1174.53025 Chen, Xiuxiong; Ding, Weiyue 12 2007 A note on uniformization of Riemann surfaces by Ricci flow. Zbl 1113.53042 Chen, Xiuxiong; Lu, Peng; Tian, Gang 39 2006 Ricci flow on Kähler-Einstein manifolds. Zbl 1097.53045 Chen, Xiuxiong; Tian, Gang 33 2006 On the lower bound of energy functional \(E_1\). I: A stability theorem on the Kähler Ricci flow. Zbl 1103.53037 Chen, Xiuxiong 7 2006 The structure of HCMU metric in a \(K\)-surface. Zbl 1090.53036 Chen, Qing; Chen, Xiuxiong; Wu, Yingyi 16 2005 Uniqueness of extremal Kähler metrics. Zbl 1069.32017 Chen, Xiuxiong; Tian, Gang 13 2005 Partial regularity for homogeneous complex Monge-Ampère equations. Zbl 1152.32304 Chen, Xiuxiong; Tian, Gang 2 2005 A new parabolic flow in Kähler manifolds. Zbl 1073.53089 Chen, X. X. 30 2004 Ricci flow on Kähler-Einstein surfaces. Zbl 1047.53043 Chen, Xiuxiong; Tian, Gang 66 2002 The space of Kähler metrics. II. Zbl 1067.58010 Calabi, E.; Chen, X. X. 50 2002 Recent progress in Kähler geometry. Zbl 1040.53083 Chen, Xiuxiong 3 2002 Calabi flow in Riemann surfaces revisited: a new point of view. Zbl 1078.53065 Chen, X. X. 29 2001 Ricci flow on Kähler manifolds. Zbl 0982.53065 Chen, Xiuxiong; Tian, Gang 1 2001 The space of Kähler metrics. Zbl 1041.58003 Chen, Xiuxiong 167 2000 On the lower bound of the Mabuchi energy and its application. Zbl 0980.58007 Chen, Xiuxiong 86 2000 Obstruction to the existence of metric whose curvature has umbilical Hessian in a \(K\)-surface. Zbl 0971.53029 Chen, Xiuxiong 16 2000 Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one. Zbl 1003.32003 Guan, Daniel; Chen, Xiuxiong 9 2000 Remarks on the existence of branch bubbles on the blowup analysis of equation \(-\Delta u= e^{2u}\) in dimension two. Zbl 0928.35051 Chen, Xiuxiong 24 1999 Extremal Hermitian metrics on Riemann surfaces. Zbl 0947.53038 Chen, Xiuxiong 16 1999 Weak limits of Riemannian metrics in surfaces with integral curvature bound. Zbl 0894.53040 Chen, Xiuxiong 17 1998 Extremal Hermitian metrics on Riemannian surfaces. Zbl 0955.30032 Chen, Xiuxiong 5 1998 Deformation of surfaces preserving principal curvatures. Zbl 0682.53006 Chen, Xiuxiong; Peng, Chiakuei 5 1989 all cited Publications top 5 cited Publications all top 5 Cited by 719 Authors 41 Chen, Xiuxiong 27 Tian, Gang 21 Darvas, Tamás 20 Song, Jian 19 Li, Chi 19 Wang, Bing 17 Berman, Robert J. 15 He, Weiyong 15 Streets, Jeffrey D. 15 Xu, Chenyang 15 Zhu, Xiaohua 13 Sun, Song 13 Wu, Yingyi 12 LeBrun, Claude R. 12 Li, Haozhao 12 Liu, Yuchen 12 Lu, Chinh Hoang 12 Székelyhidi, Gábor 12 Viaclovsky, Jeff A. 11 Dervan, Ruadhaí 11 Phong, Duong Hong 10 Cao, Huai-Dong 10 Di Nezza, Eleonora 10 Fujita, Kento 10 Rubinstein, Yanir A. 9 Arezzo, Claudio 9 Cheltsov, Ivan Anatol’evich 9 Guo, Bin 9 Tosatti, Valentino 9 Weinkove, Ben 9 Zhang, Xi 8 Boucksom, Sébastien 8 Chu, Jianchun 8 Collins, Tristan Clifford 8 Huang, Hongnian 8 Liu, Jiawei 8 Sheng, Li 8 Takahashi, Ryosuke 8 Wei, Zhiqiang 8 Won, Joonyeong 8 Zhuang, Ziquan 7 Bamler, Richard H. 7 Datar, Ved V. 7 Guan, Daniel Zhuang-Dan 7 Guedj, Vincent 7 Li, An-Min 7 Odaka, Yuji 7 Ross, Julius 7 Spotti, Cristiano 7 Trusiani, Antonio 7 Wang, Feng 7 Wang, Yuanqi 7 Zhou, Bin 6 Berndtsson, Bo 6 Chen, Bohui 6 Chen, Gao 6 de Borbon, Martin 6 Hisamoto, Tomoyuki 6 Jiang, Wenshuai 6 Li, Long 6 Li, Yu 6 Park, Jihun 6 Sun, Wei 6 Tønnesen-Friedman, Christina Wiis 5 Apostolov, Vestislav 5 Blum, Harold 5 Edwards, Gregory 5 Fu, Xin 5 Futaki, Akito 5 Ge, Huabin 5 Guan, Bo 5 Gursky, Matthew J. 5 Jin, Xishen 5 Jonsson, Mattias 5 Li, Yi 5 Ribeiro, Ernani jun. 5 Shen, Liangming 5 Shi, Yalong 5 Tong, Freid 5 Wang, Xiaowei 5 Wei, Juncheng 5 Wu, Guoqiang 5 Zhang, Kewei 5 Zheng, Tao 4 Calamai, Simone 4 Cheng, Jingrui 4 Delcroix, Thibaut 4 Donaldson, Simon Kirwan 4 Fang, Hao 4 García-Río, Eduardo 4 Gauduchon, Paul 4 Guan, Pengfei 4 Hall, Stuart James 4 Han, Jiyuan 4 Hu, Jingchen 4 Huang, Shaosai 4 Jian, Wangjian 4 Kim, In-Kyun 4 Lai, Mijia 4 Li, Qun ...and 619 more Authors all top 5 Cited in 155 Serials 69 The Journal of Geometric Analysis 61 Advances in Mathematics 51 Mathematische Annalen 44 Calculus of Variations and Partial Differential Equations 34 Mathematische Zeitschrift 33 Journal für die Reine und Angewandte Mathematik 30 Proceedings of the American Mathematical Society 28 Annals of Global Analysis and Geometry 25 Transactions of the American Mathematical Society 21 Duke Mathematical Journal 21 Journal of Functional Analysis 21 International Journal of Mathematics 19 Annales de l’Institut Fourier 19 Inventiones Mathematicae 17 Geometry & Topology 15 Journal of the American Mathematical Society 14 Communications on Pure and Applied Mathematics 13 Differential Geometry and its Applications 13 Annals of Mathematics. Second Series 12 Journal of the London Mathematical Society. Second Series 12 Results in Mathematics 12 Geometric and Functional Analysis. GAFA 12 Journal of the European Mathematical Society (JEMS) 12 Analysis & PDE 11 Journal of Geometry and Physics 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Communications in Contemporary Mathematics 10 Journal of High Energy Physics 9 Journal of Differential Geometry 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Oberwolfach Reports 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Communications in Mathematical Physics 6 Journal of Mathematical Analysis and Applications 6 Bulletin of the London Mathematical Society 6 Acta Mathematica Sinica. English Series 6 Acta Mathematica Scientia. Series B. (English Edition) 6 Science China. Mathematics 6 Forum of Mathematics, Sigma 6 Complex Manifolds 5 Compositio Mathematica 5 Manuscripta Mathematica 5 Mathematische Nachrichten 5 Proceedings of the London Mathematical Society. Third Series 5 Selecta Mathematica. New Series 5 Journal of the Institute of Mathematics of Jussieu 4 Analysis Mathematica 4 Journal of Differential Equations 4 Journal of the Mathematical Society of Japan 4 Osaka Journal of Mathematics 4 Pacific Journal of Mathematics 4 Chinese Annals of Mathematics. Series B 4 Communications in Partial Differential Equations 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Japanese Journal of Mathematics. 3rd Series 4 Bollettino dell’Unione Matematica Italiana 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Acta Mathematica 3 Acta Mathematica Vietnamica 3 Geometriae Dedicata 3 Publications Mathématiques 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Tôhoku Mathematical Journal. Second Series 3 Potential Analysis 3 Journal of Algebraic Geometry 3 The New York Journal of Mathematics 3 Bulletin des Sciences Mathématiques 3 Discrete and Continuous Dynamical Systems 3 International Journal of Geometric Methods in Modern Physics 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Peking Mathematical Journal 3 Frontiers of Mathematics 2 Journal of Computational Physics 2 Letters in Mathematical Physics 2 Annales Polonici Mathematici 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Archiv der Mathematik 2 Bulletin de la Société Mathématique de France 2 Commentarii Mathematici Helvetici 2 Indiana University Mathematics Journal 2 Journal of the Korean Mathematical Society 2 Memoirs of the American Mathematical Society 2 Michigan Mathematical Journal 2 Nagoya Mathematical Journal 2 Sugaku Expositions 2 IMRN. International Mathematics Research Notices 2 Journal of Mathematical Sciences (New York) 2 Advances in Geometry 2 Advanced Nonlinear Studies 2 Communications on Pure and Applied Analysis 2 Complex Variables and Elliptic Equations 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Frontiers of Mathematics in China 2 Forum of Mathematics, Pi 2 Communications in Mathematics and Statistics 2 Annales Mathématiques du Québec 2 Analysis and Geometry in Metric Spaces ...and 55 more Serials all top 5 Cited in 42 Fields 719 Differential geometry (53-XX) 471 Several complex variables and analytic spaces (32-XX) 252 Algebraic geometry (14-XX) 162 Global analysis, analysis on manifolds (58-XX) 159 Partial differential equations (35-XX) 21 Relativity and gravitational theory (83-XX) 19 Functions of a complex variable (30-XX) 17 Manifolds and cell complexes (57-XX) 13 Quantum theory (81-XX) 11 Convex and discrete geometry (52-XX) 10 General and overarching topics; collections (00-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Geometry (51-XX) 5 Probability theory and stochastic processes (60-XX) 4 Number theory (11-XX) 4 Topological groups, Lie groups (22-XX) 4 Potential theory (31-XX) 4 Functional analysis (46-XX) 4 Computer science (68-XX) 4 Fluid mechanics (76-XX) 3 Commutative algebra (13-XX) 3 \(K\)-theory (19-XX) 3 Measure and integration (28-XX) 3 Ordinary differential equations (34-XX) 3 Numerical analysis (65-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Real functions (26-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.