Geometry of Kaehler metrics and holomorphic foliation by discs

2004/09/22 by Xiuxiong Chen, Gang Tian, Chen, Xiuxiong +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.math/0409433

10 pages

arxiv created 2004/09/22 · arxiv updated 2009/12/01

Abstract

The purpose of this paper is to establish a partial regularity theory on certain homogeneous complex Monge-Ampere equations. As consequences of this new theory, we prove the uniqueness of extremal Kaehler metrics and give an necessary condition for existence of extremal Kaehler metrics.

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