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A remark on the maximum principle and stochastic completeness

Proceedings of the American Mathematical Society, ISSN: 0002-9939, Vol: 131, Issue: 4, Page: 1283-1288
2003
  • 101
    Citations
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    Usage
  • 7
    Captures
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Metrics Details

  • Citations
    101
    • Citation Indexes
      101
  • Captures
    7

Conference Paper Description

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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