On deformation of extremal metrics

Xiuxiong Chen, Mihai Păun, Yu Zeng

Type: Preprint

Publication Date: 2015-01-01

Citations: 30

DOI: https://doi.org/10.48550/arxiv.1506.01290

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Works That Cite This (30)

Action	Title	Year	Authors
+	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
+ PDF Chat	Geodesic convexity of small neighborhood in the space of Kähler potentials	2020	Xiuxiong Chen Mikhail Feldman Jingchen Hu
+ PDF Chat	Geodesics in the Space of Kähler Cone Metrics II: Uniqueness of Constant Scalar Curvature Kähler Cone Metrics	2019	Kai Zheng
+	Monge-Ampère operators, energy functionals, and uniqueness of Sasaki-extremal metrics	2015	Craig van Coevering
+	Scalar curvature and properness on Sasaki manifolds	2018	Weiyong He
+	Geodesic Convexity of Small Neighborhood in the Space of Kähler Potentials	2018	Xiuxiong Chen Mikhail Feldman Jingchen Hu
+	On Calabi's extremal metric and properness	2018	Weiyong He
+	On the existence of constant scalar curvature Kähler metric: a new perspective	2015	Xiuxiong Chen
+	Regularity of weak minimizers of the K-energy and applications to properness and K-stability	2016	Robert J. Berman Tamás Darvas Chinh H. Lu

Works Cited by This (15)

Action	Title	Year	Authors
+ PDF Chat	Twisted constant scalar curvature Kähler metrics and Kähler slope stability	2009	Jacopo Stoppa
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+	On the existence of constant scalar curvature Kähler metric: a new perspective	2015	Xiuxiong Chen
+	Convexity of the K-energy on the space of Kahler metrics and uniqueness of extremal metrics	2014	Robert J. Berman Bo Berndtsson
+	Extremal Kähler metrics and complex deformation theory	1994	Claude LeBrun Santiago R. Simanca
+ PDF Chat	Uniqueness of Einstein Kähler Metrics Modulo Connected Group Actions	2018	Shigetoshi Bando Toshiki Mabuchi
+	Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \boldmath2𝜋	2014	Xiuxiong Chen Simon Donaldson Song Sun
+	Extremal Kähler Metrics II	1985	Eugenio Calabi
+	UNIQUENESS OF EXTREMAL KÄHLER METRICS FOR AN INTEGRAL KÄHLER CLASS	2004	Toshiki Mabuchi
+	On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I	1978	Shing‐Tung Yau