A remark on the maximum principle and stochastic completeness

被引：93

作者：

Pigola, S

Rigoli, M

Setti, AG

机构：

[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Univ Insubria, Dipartimento Sci CFM, I-22100 Como, Italy

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 131卷 / 04期

关键词：

maximum principle; stochastic completeness;

D O I：

10.1090/S0002-9939-02-06672-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the stochastic completeness of a Riemannian manifold (M, [,]) is equivalent to the validity of a weak form of the Omori-Yau maximum principle. Some geometric applications of this result are also presented.

引用

页码：1283 / 1288

页数：6

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