VOLUME ESTIMATES FOR KAHLER-EINSTEIN METRICS AND RIGIDITY OF COMPLEX STRUCTURES

被引：0

作者：

Chen, X. -X. ^{[1
]}

Donaldson, S. K. ^{[2
]}

机构：

[1] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

[2] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2013年 / 93卷 / 02期

基金：

欧洲研究理事会; 美国国家科学基金会;

关键词：

RICCI CURVATURE; MANIFOLDS; SINGULARITIES; BOUNDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper extends our earlier results to higher dimensions using a different approach, based on the rigidity of complex structures on certain domains. We prove a "low energy" result in all dimensions, in the sense that if normalized energy in a large ball is small enough, then the normalized energy in any interior ball must also be small.

引用

页码：191 / 201

页数：11

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