A remark on the maximum principle and stochastic completeness

被引：88
|
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.
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页码：1283 / 1288
页数：6
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