Relative volume comparison with integral curvature bounds

被引：123

作者：

Petersen, P ^{[1
]}

Wei, G

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

[2] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 1997年 / 7卷 / 06期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/s000390050036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we shall generalize the Bishop-Gromov relative volume comparison estimate to a situation where one only has an integral bound for the part of the Ricci curvature which lies below a given number. This will yield several compactness and pinching theorems.

引用

页码：1031 / 1045

页数：15

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