Abstract
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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CITATION STYLE
APA
Pigola, S., Rigoli, M., & Setti, A. G. (2002). A remark on the maximum principle and stochastic completeness. Proceedings of the American Mathematical Society, 131(4), 1283–1288. https://doi.org/10.1090/s0002-9939-02-06672-8
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