First eigenvalues of geometric operators under the Ricci flow

被引：81

作者：

Cao, Xiaodong ^{[1
]}

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 11期

关键词：

D O I：

10.1090/S0002-9939-08-09533-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that the first eigenvalues of -Delta+cR (c >= 1/4) are nondecreasing under the Ricci flow. We also prove the monotonicity under the normalized Ricci flow for the cases c = 1/4 and r <= 0.

引用

页码：4075 / 4078

页数：4

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