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：
美国国家科学基金会; 欧洲研究理事会;
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.
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页码：191 / 201
页数：11
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