Xiuxiong Chen

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All published works

Action	Title	Year	Authors
+	The $L^\infty$ estimates for parabolic complex Monge–Ampère and Hessian equations	2023	Xiuxiong Chen Jingrui Cheng
+	Gradient estimate for complex Monge-Ampere equation with continuous right hand side	2022	Xiuxiong Chen Jingrui Cheng
+	The $L^{\infty}$ estimates for parabolic complex Monge-Ampere and Hessian equations	2022	Xiuxiong Chen Jingrui Cheng
+ PDF Chat	On the geometry of asymptotically flat manifolds	2021	Xiuxiong Chen Yu Li
+ PDF Chat	Gravitational instantons with faster than quadratic curvature decay. I	2021	Gao Chen Xiuxiong Chen
+	On the constant scalar curvature Kähler metrics (I)—A priori estimates	2020	Xiuxiong Chen Jingrui Cheng
+	On the constant scalar curvature Kähler metrics (II)—Existence results	2020	Xiuxiong Chen Jingrui Cheng
+	Space of Ricci flows (II)—Part B: Weak compactness of the flows	2020	Xiuxiong Chen Bing Wang
+ PDF Chat	Geodesic convexity of small neighborhood in the space of Kähler potentials	2020	Xiuxiong Chen Mikhail Feldman Jingchen Hu
+ PDF Chat	Gravitational instantons with faster than quadratic curvature decay (III)	2020	Gao Chen Xiuxiong Chen
+	Some new estimates for the complex Monge-Ampère equation	2019	Xiuxiong Chen Jingrui Cheng
+	Compactness of Kähler metrics with bounds on Ricci curvature and $${\mathcal {I}}$$ functional	2019	Xiuxiong Chen Tamás Darvas Weiyong He
+	Geodesics in the space of singular Kähler potentials	2019	S. Ali Aleyasin Xiuxiong Chen
+ PDF Chat	A class of fully nonlinear equations	2019	Xiuxiong Chen Weiyong He
+ PDF Chat	Kähler–Ricci flow, Kähler–Einstein metric, and K–stability	2018	Xiuxiong Chen Song Sun Bing Wang
+	Geodesically Convexity of Small Neighborhood in Space of K\"ahler Potentials	2018	Xiuxiong Chen Mikhail Feldman Jingchen Hu
+	On the constant scalar curvature Kähler metrics, existence results	2018	Xiuxiong Chen Jingrui Cheng
+	On the constant scalar curvature Kähler metrics, general automorphism group	2018	Xiuxiong Chen Jingrui Cheng
+	A class of fully nonlinear equations	2018	Xiuxiong Chen Weiyong He
+	Geodesic Convexity of Small Neighborhood in the Space of Kähler Potentials	2018	Xiuxiong Chen Mikhail Feldman Jingchen Hu
+	RICCI FLOW ON SURFACES WITH DEGENERATE INITIAL METRICS	2017	Xiuxiong Chen Weiyue Ding
+ PDF Chat	On the existence of constant scalar curvature Kähler metric: a new perspective	2017	Xiuxiong Chen
+ PDF Chat	Gravitational instantons with faster than quadratic curvature decay (II)	2017	Gao Chen Xiuxiong Chen
+	Compactness of Kähler metrics with bounds on Ricci curvature and I functional	2017	Xiuxiong Chen Tamás Darvas Weiyong He
+ PDF Chat	SPACE OF RICCI FLOWS (II)—PART A: MODULI OF SINGULAR CALABI–YAU SPACES	2017	Xiuxiong Chen Bing Wang
+	On the constant scalar curvature Kähler metrics, apriori estimates	2017	Xiuxiong Chen Jingrui Cheng
+ PDF Chat	On the regularity problem of complex Monge–Ampere equations with conical singularities	2017	Xiuxiong Chen Yuanqi Wang
+ PDF Chat	The interior regularity of the Calabi flow on a toric surface	2016	Xiuxiong Chen Hongnian Huang Sheng Li
+ PDF Chat	On the long time behaviour of the conical Kähler–Ricci flows	2016	Xiuxiong Chen Yuanqi Wang
+	Remarks of weak-compactness along Kahler Ricci flow	2016	Xiuxiong Chen Bing Wang
+	$$C^{2,\alpha }$$ C 2 , α -estimate for Monge-Ampère equations with Hölder-continuous right hand side	2015	Xiuxiong Chen Yuanqi Wang
+	Bessel functions, heat kernel and the conical Kähler–Ricci flow	2015	Xiuxiong Chen Yuanqi Wang
+	A note on Ricci flow with Ricci curvature bounded below	2015	Xiuxiong Chen Fang Yuan
+	On the existence of constant scalar curvature Kähler metric: a new perspective	2015	Xiuxiong Chen
+	On deformation of extremal metrics	2015	Xiuxiong Chen Mihai Păun Yu Zeng
+	$C^{2,\alpha}$-estimate for Monge-Ampere equations with H\"older-continuous right hand side	2014	Xiuxiong Chen Yuanqi Wang
+ PDF Chat	Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics	2014	Xiuxiong Chen Song Sun
+	Space of Ricci flows (II)	2014	Xiuxiong Chen Wang Bing
+	Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \boldmath2𝜋	2014	Xiuxiong Chen Simon Donaldson Song Sun
+	Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof	2014	Xiuxiong Chen Simon Donaldson Song Sun
+	Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities	2014	Xiuxiong Chen Simon Donaldson Song Sun
+ PDF Chat	On Four-Dimensional Anti-self-dual Gradient Ricci Solitons	2014	Xiuxiong Chen Yuanqi Wang
+	On the regularity problem of complex Monge-Ampere equations with conical singularities	2014	Xiuxiong Chen Yuanqi Wang
+	On the long time behaviour of the Conical Kähler- Ricci flows	2014	Xiuxiong Chen Yuanqi Wang
+	$C^{2,α}$-estimate for Monge-Ampere equations with Hölder-continuous right hand side	2014	Xiuxiong Chen Yuanqi Wang
+	Space of Ricci flows (II)	2014	Xiuxiong Chen Bing Wang
+ PDF Chat	Kähler–Einstein Metrics and Stability	2013	Xiuxiong Chen Simon Donaldson Song Sun
+	The interior regularity of the Calabi flow on a toric surface	2013	Xiuxiong Chen Hongnian Huang Sheng Li
+	On the Geodesics in the space of Kähler metrics with prescribed singularities	2013	S. Ali Aleyasin Xiuxiong Chen
+	Bessel Functions, Heat Kernel and the Conical Kähler-Ricci Flow	2013	Xiuxiong Chen Yuanqi Wang
+	Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2π and completion of the main proof	2013	Xiuxiong Chen Simon Donaldson Song Sun
+ PDF Chat	The Kähler Ricci flow on Fano manifolds (I)	2012	Xiuxiong Chen Bing Wang
+	Space of Ricci Flows I	2012	Xiuxiong Chen Bing Wang
+	Differentialgeometrie im Großen	2012	Olivier Biquard Xiuxiong Chen Bernhard Leeb Gang Tian
+ PDF Chat	On the Conditions to Extend Ricci Flow(III)	2012	Xiuxiong Chen Bing Wang
+ PDF Chat	The pseudo-Calabi flow	2012	Xiuxiong Chen Kai Zheng
+	The complex Monge–Ampère equation on compact Kähler manifolds	2012	Xiuxiong Chen Weiyong He
+ PDF Chat	Space of Kähler Metrics (V) – Kähler Quantization	2012	Xiuxiong Chen Song Sun
+	Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities	2012	Xiuxiong Chen Simon Donaldson Song Sun
+	Kahler-Einstein metrics and stability	2012	Xiuxiong Chen Simon Donaldson Song Sun
+	Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 π	2012	Xiuxiong Chen Simon Donaldson Song Sun
+	The Calabi flow on Kähler Surfaces with bounded Sobolev constant (I)	2011	Xiuxiong Chen Weiyong He
+	On four-dimensional anti-self-dual gradient Ricci solitons	2011	Xiuxiong Chen Yuanqi Wang
+	Integral bounds on curvature and Gromov-Hausdorff limits	2011	Xiuxiong Chen Simon Donaldson
+	On the conditions to extend Ricci flow(III)	2011	Xiuxiong Chen Bing Wang
+ PDF Chat	The Kähler Ricci flow on Fano surfaces (I)	2010	Xiuxiong Chen Bing Wang
+	Moduli spaces of critical Riemannian metrics with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mfrac><mml:mi>n</mml:mi><mml:mn>2</mml:mn></mml:mfrac></mml:msup></mml:math> norm curvature bounds	2010	Xiuxiong Chen Brian Weber
+	Calabi flow, Geodesic rays, and uniqueness of constant scalar curvature Kähler metrics	2010	Xiuxiong Chen Song Sun
+	The complex Monge-Ampere equation on compact Kaehler manifolds	2010	Xiuxiong Chen Weiyong He
+ PDF Chat	The Calabi flow on toric Fano Surfaces	2010	Xiuxiong Chen Weiyong He
+ PDF Chat	Stability of Kähler-Ricci Flow	2009	Xiuxiong Chen Haozhao Li
+ PDF Chat	Remarks on Kähler Ricci Flow	2009	Xiuxiong Chen Bing Wang
+	K\"ahler Ricci flow on Fano manifolds(I)	2009	Xiuxiong Chen Bing Wang
+	Space of Kähler metrics (V)-- Kähler quantization	2009	Xiuxiong Chen Song Sun
+	Kähler Ricci flow on Fano manifolds(I)	2009	Xiuxiong Chen Bing Wang
+	Space of Ricci flows (I)	2009	Xiuxiong Chen Bing Wang
+	Kähler–Ricci Flow With Small Initial Energy	2008	Xiuxiong Chen Haozhao Li Bing Wang
+	The space of volume forms	2008	Xiuxiong Chen Weiyong He
+ PDF Chat	Space of Kähler metrics III – On the lower bound of the Calabi energy and geodesic distance	2008	Xiuxiong Chen
+	The Kähler-Ricci flow on Kähler manifolds with 2-non-negative traceless bisectional curvature operator	2008	Xiuxiong Chen Haozhao Li
+	A note on Kähler-Ricci soliton	2008	Xiuxiong Chen Song Sun Gang Tian
+	A note on K	2008	Xiuxiong Chen Song Sun Gang Tian
+	On conformally Kähler, Einstein manifolds	2008	Xiuxiong Chen Claude LeBrun Brian Weber
+	Stability of Kahler-Ricci flow	2008	Xiuxiong Chen Haozhao Li
+	Space of Kähler metrics (IV)--On the lower bound of the K-energy	2008	Xiuxiong Chen
+	The Calabi flow on toric Fano surface	2008	Xiuxiong Chen Weiyong He
+	Stability of Kähler-Ricci flow	2008	Xiuxiong Chen Haozhao Li
+	A note on Kähler-Ricci soliton	2008	Xiuxiong Chen Song Sun Gang Tian
+	Remarks on Kahler Ricci Flow	2008	Xiuxiong Chen Bing Wang
+	The space of volume forms	2008	Xiuxiong Chen Weiyong He
+	The Calabi flow on K	2007	Xiuxiong Chen Weiyong He
+	The Calabi flow on K\"ahler surface with bounded Sobolev's constant--(I)	2007	Xiuxiong Chen Weiyong He
+ PDF Chat	Singular angles of weak limiting metrics under certain integral curvature bounds	2007	Qing Chen Xiuxiong Chen Weiyong He
+	The Calabi flow on Kähler surface with bounded Sobolev constant	2007	Xiuxiong Chen Weiyong He
+	Test configurations and Geodesic rays	2007	Xiuxiong Chen Yudong Tang
+	Moduli spaces of critical Riemannian metrics with L^{n/2} norm curvature bounds	2007	Xiuxiong Chen Brian Weber
+	On Conformally Kaehler, Einstein Manifolds	2007	Xiuxiong Chen Claude LeBrun Brian Weber
+	Kähler Ricci flow on Fano surfaces (I)	2007	Xiuxiong Chen Bing Wang
+ PDF Chat	A note on uniformization of Riemann surfaces by Ricci flow	2006	Xiuxiong Chen Peng Lü Gang Tian
+	On the Calabi flow	2006	Xiuxiong Chen Weiyong He
+	On the lower bound of energy functionalE 1 (I)—A stability theorem on the Kähler Ricci flow	2006	Xiuxiong Chen
+	On the Kahler-Ricci flow with small initial E_1 energy (I)	2006	Xiuxiong Chen Haozhao Li Bing Wang
+	On the Calabi flow	2006	Xiuxiong Chen Weiyong He
+ PDF Chat	Partial regularity for homogeneous complex Monge–Ampere equations	2005	Xiuxiong Chen Gang Tian
+ PDF Chat	Uniqueness of extremal Kähler metrics	2005	Xiuxiong Chen Gang Tian
+	On the lower bound of energy functional E_1 (I)-- a stability theorem on the Kaehler Ricci flow	2005	Xiuxiong Chen
+	None	2005	Qing Chen Xiuxiong Chen Yingyi Wu
+	A note on uniformization of Riemann surfaces by Ricci flow	2005	Xiuxiong Chen Peng Lü Gang Tian
+	The structure of HCMU metric in a K-Surface	2005	Qing Chen Xiuxiong Chen Yingyi Wu
+	Geometry of Kaehler metrics and holomorphic foliation by discs	2004	Xiuxiong Chen Gang Tian
+	Recent progress in K\"ahler geometry	2003	Xiuxiong Chen
+	Recent progress in Kähler geometry	2003	Xiuxiong Chen
+ PDF Chat	Ricci flow on Kähler manifolds	2001	Xiuxiong Chen Gang Tian
+ PDF Chat	The Space of Kähler Metrics	2000	Xiuxiong Chen
+	The Space of Kaehler metrics	2000	Xiuxiong Chen
+	Ricci flow on Kaehler-Einstein surfaces	2000	Xiuxiong Chen Gang Tian
+	None	2000	Xiuxiong Chen
+ PDF Chat	Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one	2000	Daniel Guan Xiuxiong Chen
+	Weak Limits of Riemannian Metrics in Surfaces with integral Curvature Bound	2000	Xiuxiong Chen
+	Calabi flow in Riemann surfaces revisited: A new point of view	2000	Xiuxiong Chen
+	A new parabolic flow in Kaehler manifolds	2000	Xiuxiong Chen
+	The Space of Kaehler metrics	2000	Xiuxiong Chen
+ PDF Chat	Obstruction to the existence of metric whose curvature has umbilical Hessian in a $K$-surface	2000	Xiuxiong Chen
+	Extremal Hermitian metrics on Riemann surfaces	1999	Xiuxiong Chen
+ PDF Chat	Remarks on the existence of branch bubbles on the blowup analysis of equation $- \Delta u = e^{2u}$ in dimension two	1999	Xiuxiong Chen
+ PDF Chat	Weak limits of Riemannian metrics in surfaces with integral curvature bound	1998	Xiuxiong Chen
+	Deformation of surfaces preserving principal curvatures	1989	Xiuxiong Chen Chiakuei Peng

Common Coauthors

Coauthor	Papers Together
Weiyong He	17
Gang Tian	11
Bing Wang	11
Yuanqi Wang	11
Song Sun	10
Simon Donaldson	9
Jingrui Cheng	9
Song Sun	6
Brian Weber	4
Bing Wang	3
Jingchen Hu	3
Mikhail Feldman	3
Gao Chen	3
Hongnian Huang	2
Claude LeBrun	2
Haozhao Li	2
Peng Lü	2
Yingyi Wu	2
Sheng Li	2
Bing Wang	2
Bing Wang	2
Tamás Darvas	2
S. Ali Aleyasin	2
Haozhao Li	2
Haozhao Li	1
Chiakuei Peng	1
Wang Bing	1
Yudong Tang	1
Yu Li	1
Mihai Păun	1
Qing Chen	1
Daniel Guan	1
Weiyue Ding	1
Yu Zeng	1
Olivier Biquard	1
Haozhao Li	1
Qing Chen	1
Bernhard Leeb	1
Kai Zheng	1
Qing Chen	1
Fang Yuan	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I	1978	Shing‐Tung Yau	46
+	Kähler-Einstein metrics with positive scalar curvature	1997	Gang Tian	41
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	27
+ PDF Chat	Scalar Curvature and Stability of Toric Varieties	2002	Simon Donaldson	25
+	On Calabi's conjecture for complex surfaces with positive first Chern class	1990	Gang Tian	24
+	An obstruction to the existence of Einstein K�hler metrics	1983	Akito Futaki	24
+ PDF Chat	The Space of Kähler Metrics	2000	Xiuxiong Chen	24
+ PDF Chat	Three-manifolds with positive Ricci curvature	1982	Richard S. Hamilton	21
+	None	2000	Xiuxiong Chen	20
+	Extremal Kähler Metrics II	1985	Eugenio Calabi	20
+ PDF Chat	Scalar Curvature and Projective Embeddings, I	2001	Simon Donaldson	19
+ PDF Chat	Kähler--Einstein metrics with edge singularities	2015	Thalia Jeffres Rafe Mazzeo Yanir A. Rubinstein	18
+ PDF Chat	Uniqueness of Einstein Kähler Metrics Modulo Connected Group Actions	2018	Shigetoshi Bando Toshiki Mabuchi	18
+	The entropy formula for the Ricci flow and its geometric applications	2002	Grisha Perelman	17
+	On K�hler-Einstein metrics on certain K�hler manifolds withC 1 (M)>0	1987	Gang Tian	17
+	K�hler-Einstein metrics on complex surfaces withC 1>0	1987	Gang Tian Shing-Tung Yau	15
+ PDF Chat	Geometry of Kähler metrics and foliations by holomorphic discs	2008	X. X. Chen Gang Tian	15
+	Some symplectic geometry on compact Kähler manifolds. I	1987	Toshiki Mabuchi	15
+ PDF Chat	Lower bounds on the Calabi functional	2005	Simon Donaldson	15
+	On the Calabi flow	2008	X. X. Chen Wen-Yu He	14
+	Kähler Metrics with Cone Singularities Along a Divisor	2012	Simon Donaldson	14
+ PDF Chat	Ricci flow on Kähler-Einstein surfaces	2002	X.X. Chen Gang Tian	14
+	Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities	2014	Xiuxiong Chen Simon Donaldson Song Sun	14
+	Convergence and rigidity of manifolds under Ricci curvature bounds	1990	Michael T. Anderson	14
+	Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \boldmath2𝜋	2014	Xiuxiong Chen Simon Donaldson Song Sun	14
+ PDF Chat	Space of Kähler metrics III – On the lower bound of the Calabi energy and geodesic distance	2008	Xiuxiong Chen	13
+ PDF Chat	K-stability of constant scalar curvature Kähler manifolds	2009	Jacopo Stoppa	12
+ PDF Chat	Ricci curvature bounds and Einstein metrics on compact manifolds	1989	Michael T. Anderson	12
+ PDF Chat	The greatest Ricci lower bound, conical Einstein metrics and Chern number inequality	2016	Jian Song Xiaowei Wang	11
+	Classical solutions of fully nonlinear, convex, second‐order elliptic equations	1982	Lawrence C. Evans	11
+ PDF Chat	Orbifold compactness for spaces of Riemannian metrics and applications	2005	Michael T. Anderson	11
+	Complex Monge-Ampere and Symplectic Manifolds	1992	Stephen Semmes	11
+	K�hler-Einstein metrics and the generalized Futaki invariant	1992	WEI-YUE DING Gang Tian	11
+ PDF Chat	Singular Kähler-Einstein metrics	2009	Philippe Eyssidieux Vincent Guedj Ahmed Zériahi	11
+	Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof	2014	Xiuxiong Chen Simon Donaldson Song Sun	11
+ PDF Chat	Constant Scalar Curvature Metrics on Toric Surfaces	2009	Simon Donaldson	10
+ PDF Chat	Ricci deformation of the metric on complete noncompact Riemannian manifolds	1989	Wan-Xiong Shi	10
+	Conical Kahler-Einstein metric revisited	2012	Chi Li Song Sun	10
+ PDF Chat	The uniformization theorem for compact Kähler manifolds of nonnegative holomorphic bisectional curvature	1988	Ngaiming Mok	10
+	Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products	1996	Jeff Cheeger Tobias Colding	10
+ PDF Chat	Moduli spaces of critical Riemannian metrics in dimension four	2004	Gang Tian Jeff Viaclovsky	9
+	On deformation of extremal metrics	2015	Xiuxiong Chen Mihai Păun Yu Zeng	9
+	A thermodynamical formalism for Monge–Ampère equations, Moser–Trudinger inequalities and Kähler–Einstein metrics	2013	Robert J. Berman	9
+ PDF Chat	Extremal metrics on toric surfaces: a continuity method	2008	Simon Donaldson	9
+	Interior estimates for solutions of Abreu's equation	2004	Simon Donaldson	9
+ PDF Chat	On the structure of spaces with Ricci curvature bounded below. I	1997	Jeff Cheeger Tobias Colding	9
+ PDF Chat	The Existence of Kahler-Einstein Metrics on Manifolds with Positive Anticanonical Line Bundle and a Suitable Finite Symmetry Group	1988	Yum-Tong Siu	9
+	The Mabuchi geometry of finite energy classes	2015	Tamás Darvas	9
+ PDF Chat	A Torelli-type theorem for gravitational instantons	1989	P. B. Kronheimer	8
+ PDF Chat	Complete Kähler manifolds with zero Ricci curvature. I	1990	Gang Tian Shing-Tung Yau	8