General formula for lower bound of the first eigenvalue on Riemannian manifolds

被引：57

作者：

Chen, M

Wang, FY

机构：

[1] Beijing Normal University,Department of Mathematics

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1997年 / 40卷 / 04期

关键词：

the first eigenvalue; coupling method; Riemannian manifold;

D O I：

10.1007/BF02911438

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A general formula for the lower bound of the first eigenvalue on compact Riemannian manifolds is presented. The formula improves the main known sharp estimates including Lichnerowicz's estimate and Zhong-Yang's estimate. Moreover, the results are extended to the noncompact manifolds. The study is based on the probabilistic approach (i. e. the coupling method).

引用

页码：384 / 394

页数：11