Xiuxiong Chen

发表

On the Kahler-Ricci flow with small initial E_1 energy (I)

B. Wang, Haozhao Li, Xiuxiong Chen, 2006, math/0609694.

On the lower bound of the Mabuchi energy and its application

Xiuxiong Chen, 2000 .

Remarks on the existence of branch bubbles on the blowup analysis of equation $- \Delta u = e^{2u}$ in dimension two

Xiuxiong Chen, 1999 .

The Calabi flow on toric Fano surface

Xiuxiong Chen, Weiyong He, 2008, 0807.3984.

The Calabi flow on Kähler Surfaces with bounded Sobolev constant (I)

Xiuxiong Chen, Weiyong He, 2007, 0710.5159.

Gravitational instantons with faster than quadratic curvature decay (III)

Xiuxiong Chen, Gao Chen, 2020, Mathematische Annalen.

Calabi flow in Riemann surfaces revisited: a new point of view

Xiuxiong Chen, 2000, math/0009246.

The Calabi flow on Kähler Surfaces with bounded Sobolev constant (I)

Xiuxiong Chen, Weiyong He, 2011, Mathematische Annalen.

Recent progress in K\"ahler geometry

Xiuxiong Chen, 2003, math/0304262.

Recent Progress in Kahler Geometry

Xiuxiong Chen, 2002 .

Weak limits of Riemannian metrics in surfaces with integral curvature bound

Xiuxiong Chen, 1998, math/0009243.

The Kähler Ricci flow on Fano surfaces (I)

B. Wang, Xiuxiong Chen, 2012 .

Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than 2

S. Donaldson, Song Sun, Xiuxiong Chen, 2012, 1212.4714.

On the lower bound of energy functionalE1 (I)—A stability theorem on the Kähler Ricci flow

Xiuxiong Chen, 2005, math/0502196.

The $L^{\infty}$ estimates for parabolic complex Monge-Ampere and Hessian equations

Xiuxiong Chen, Jingrui Cheng, 2022, 2201.13339.

The interior regularity of the Calabi flow on a toric surface

Hongnian Huang, Li Sheng, Xiuxiong Chen, 2016, Calculus of Variations and Partial Differential Equations.

The interior regularity of the Calabi flow on a toric surface

Hongnian Huang, Li Sheng, Xiuxiong Chen, 2013, 1302.1627.

The complex Monge–Ampère equation on compact Kähler manifolds

Xiuxiong Chen, Weiyong He, 2012, Mathematische Annalen.

C 2 ,α -estimate for Monge-Ampère equations with Hölder-continuous right hand side

Xiuxiong Chen, Yuanqi Wang, 2015 .

On the regularity problem of complex Monge-Ampere equations with conical singularities

Xiuxiong Chen, Yuanqi Wang, 2014, 1405.1021.

Measurement of the Flux of $^{8}$B Solar Neutrinos at the Sudbury Neutrino Observatory

D. W. Robinson, T. J. Bowles, J. C. Barton, 2008 .

Geodesic convexity of small neighborhood in the space of Kähler potentials

M. Feldman, Xiuxiong Chen, Jingchen Hu, 2018, Journal of Functional Analysis.

Test configurations and Geodesic rays

Xiuxiong Chen, Yudong Tang, 2007, 0707.4149.

The Space of Kähler Metrics

Xiuxiong Chen, 2000 .

Gravitational instantons with faster than quadratic curvature decay (III)

Xiuxiong Chen, Gao Chen, 2016, Mathematische Annalen.

On the geometry of asymptotically flat manifolds

Xiuxiong Chen, Yu Li, Xiuxiong Chen, 2019, Geometry & Topology.

On the constant scalar curvature K\"ahler metrics, existence results

Xiuxiong Chen, Jingrui Cheng, Xiuxiong Chen, 2018, 1801.00656.

On the constant scalar curvature K\"ahler metrics, apriori estimates

Xiuxiong Chen, Jingrui Cheng, 2017, 1712.06697.

Gradient estimate for complex Monge-Ampere equation with continuous right hand side

Xiuxiong Chen, Jingrui Cheng, 2022, 2201.13330.

Some new estimates for the complex Monge-Ampère equation

Xiuxiong Chen, Jingrui Cheng, 2019, Science China Mathematics.

Compactness of Kähler metrics with bounds on Ricci curvature and I\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\ma

Xiuxiong Chen, Weiyong He, T. Darvas, 2017, Calculus of Variations and Partial Differential Equations.

Compactness of Kähler metrics with bounds on Ricci curvature and I functional

Xiuxiong Chen, Weiyong He, T. Darvas, 2019 .

The complex Monge–Ampère equation on compact Kähler manifolds

Xiuxiong Chen, Weiyong He, 2010, 1004.0543.

Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities

S. Donaldson, Song Sun, Xiuxiong Chen, 2012, 1211.4566.

On the constant scalar curvature Kähler metrics, general automorphism group

Xiuxiong Chen, Jingrui Cheng, 2018, 1801.05907.

Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2\pi\ and completion of the main proof

S. Donaldson, Song Sun, Xiuxiong Chen, 2013, 1302.0282.

Kahler-Einstein metrics and stability

S. Donaldson, Song Sun, Xiuxiong Chen, 2012, 1210.7494.

Geodesically Convexity of Small Neighborhood in Space of K\"ahler Potentials

M. Feldman, Xiuxiong Chen, Jingchen Hu, 2018 .

On the existence of constant scalar curvature Kähler metric: a new perspective

Xiuxiong Chen, 2015, 1506.06423.

Liouville Energy on a Topological Two Sphere

Meijun Zhu, Xiuxiong Chen, 2013, Communications in Mathematics and Statistics.

The pseudo-Calabi flow

Kai Zheng, Xiuxiong Chen, 2010, 1004.2663.

Space of Kähler Metrics (V) – Kähler Quantization

Song Sun, Xiuxiong Chen, 2012 .

Calabi flow, Geodesic rays, and uniqueness of constant scalar curvature K\

Song Sun, Xiuxiong Chen, 2010, 1004.2012.

D G ] 1 2 A pr 2 01 0 Space of Kähler metrics ( V ) — Kähler quantization

Song Sun, Xiuxiong Chen, 2010 .

Space of K\"ahler metrics (V)-- K\"ahler quantization

Song Sun, Xiuxiong Chen, 2009, 0902.4149.

2 4 Fe b 20 09 Space of Kähler metrics ( V ) — Kähler quantization

Song Sun, Xiuxiong Chen, 2009 .

Liouville Energy on a Topological Two Sphere

Meijun Zhu, Xiuxiong Chen, 2007, 0710.4320.

Space of Kähler metrics III – On the lower bound of the Calabi energy and geodesic distance

Xiuxiong Chen, 2006, math/0606228.

Partial regularity for homogeneous complex Monge–Ampere equations

G. Tian, Xiuxiong Chen, 2005 .

Uniqueness of extremal Kähler metrics

G. Tian, Xiuxiong Chen, 2005 .

Extremal Hermitian metrics on Riemann surfaces

Xiuxiong Chen, 1999 .

Extremal Hermitian metrics on Riemannian surfaces

Xiuxiong Chen, 1998 .

On Conformally Kaehler, Einstein Manifolds

B. Weber, Xiuxiong Chen, C. LeBrun, 2007, 0705.0710.

A note on uniformization of riemann surfaces by ricci flow

P. Lu, G. Tian, Xiuxiong Chen, 2005, math/0505163.

Stability of Kähler-Ricci Flow

Haozhao Li, Xiuxiong Chen, 2008 .

Stability of K ¨ ahler-Ricci flow

Haozhao Li, Xiuxiong Chen, 2008, 0801.3086.

K\"ahler Ricci flow on Fano manifolds(I)

B. Wang, Xiuxiong Chen, 2009, 0909.2391.

Kähler Ricci flow on Fano manfiolds(I)

B. Wang, Xiuxiong Chen, 2009 .

Remarks on Kähler Ricci Flow

B. Wang, Xiuxiong Chen, 2008, 0809.3963.

2 3 Se p 20 08 Remarks on Kähler Ricci Flow

B. Wang, Xiuxiong Chen, 2008 .

Kähler–Ricci Flow With Small Initial Energy

B. Wang, Haozhao Li, Xiuxiong Chen, 2009 .

Ricci flow on Kähler-Einstein manifolds

G. Tian, Xiuxiong Chen, 2006 .

Bessel Functions, Heat Kernel and the Conical K\"ahler-Ricci Flow

Xiuxiong Chen, Yuanqi Wang, 2013, 1305.0255.

Space of Ricci flows (II)—Part B: Weak compactness of the flows

Bing Wang, Xiuxiong Chen, 2020 .

Remarks of weak-compactness along Kahler Ricci flow

B. Wang, Xiuxiong Chen, 2016, 1605.01374.

Space of Ricci Flows I

B. Wang, Xiuxiong Chen, 2009, 0902.1545.

Geometry of Kaehler metrics and holomorphic foliation by discs

G. Tian, Xiuxiong Chen, 2004, math/0409433.

The Kähler-Ricci flow on Kähler manifolds with 2-non-negative traceless bisectional curvature operator

Haozhao Li, Xiuxiong Chen, 2008 .

On the lower bound of energy functional E_1(II)

B. Wang, Haozhao Li, Xiuxiong Chen, 2006 .

eb 2 00 5 On the lower bound of energy functional E 1 ( I ) — a stability theorem on the Kähler Ricci flow

Xiuxiong Chen, 2008 .

Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one

Xiuxiong Chen, D. Guan, 2000 .

SPACE OF RICCI FLOWS (II)—PART A: MODULI OF SINGULAR CALABI–YAU SPACES

B. Wang, Xiuxiong Chen, 2017, Forum of Mathematics, Sigma.

Kähler–Ricci flow, Kähler–Einstein metric, and K–stability

B. Wang, Song Sun, Xiuxiong Chen, 2015, Geometry & Topology.

On the existence of constant scalar curvature Kähler metric: a new perspective

Xiuxiong Chen, 2017, Annales mathématiques du Québec.

On Four-Dimensional Anti-self-dual Gradient Ricci Solitons

Yuanqi Wang, Xiuxiong Chen, Xiuxiong Chen, 2011, 1102.0358.

A Note on Kähler-Ricci Soliton

G. Tian, Song Sun, Xiuxiong Chen, 2008 .

On Four-Dimensional Anti-self-dual Gradient Ricci Solitons

Xiuxiong Chen, Yuanqi Wang, 2014, The Journal of Geometric Analysis.

A New Parabolic Flow in Kahler Manifolds

Xiuxiong Chen, 2000, math/0009247.

Moduli spaces of critical Riemannian metrics with L^{n/2} norm curvature bounds

Xiuxiong Chen, Brian Weber, 2007, 0705.4440.

The Kähler Ricci flow on Fano surfaces (I)

Xiuxiong Chen, Bing Wang, 2010, Mathematische Zeitschrift.

K\"ahler Ricci flow on Fano surfaces (I)

B. Wang, Xiuxiong Chen, 2007, 0710.5204.

O ct 2 00 7 Kähler Ricci flow on Fano surfaces ( I )

B. Wang, Xiuxiong Chen, 2007 .

On the weak Kähler-Ricci flow

Zhou Zhang, G. Tian, Xiuxiong Chen, 2011 .

Space of K\"ahler metrics (IV)--On the lower bound of the K-energy

Xiuxiong Chen, 2008, 0809.4081.

D ec 2 01 7 ON THE CONSTANT SCALAR CURVATURE KÄHLER METRICS ( I ) — APRIORI ESTIMATES

Xiuxiong Chen, Jingrui Cheng, 2018 .

The structure of HCMU metric in a K-surface

Qing Chen, Yingyi Wu, Xiuxiong Chen, 2005, math/0507380.

On the constant scalar curvature Kähler metrics (II)—Existence results

Xiuxiong Chen, Jingrui Cheng, 2020, Journal of the American Mathematical Society.

$$C^{2,\alpha }$$C2,α-estimate for Monge-Ampère equations with Hölder-continuous right hand side

Xiuxiong Chen, Yuanqi Wang, 2014, 1406.5825.

On the long time behaviour of the Conical K\"ahler- Ricci flows

Xiuxiong Chen, Yuanqi Wang, 2014, 1402.6689.

Singular angles of weak limiting metrics under certain integral curvature bounds

Qing Chen, Xiuxiong Chen, Weiyong He, 2007 .

On the constant scalar curvature Kähler metrics (I)—A priori estimates

Xiuxiong Chen, Jingrui Cheng, 2017, Journal of the American Mathematical Society.

Moduli spaces of critical Riemannian metrics with L^{n/2} norm curvature bounds

Xiuxiong Chen, Brian Weber, 2007, 0705.4440.

Ricci flow on Kähler manifolds

G. Tian, Xiuxiong Chen, 2000, math/0010007.

Ricci flow on Kaehler-Einstein surfaces

G. Tian, Xiuxiong Chen, 2000, math/0010008.

The Space of Kaehler metrics

Xiuxiong Chen, 2000, math/0007057.

1 0 Ju l 2 00 0 Space of Kähler metrics 1 The Space of Kähler metrics

Xiuxiong Chen, 1999 .