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arXiv · 1012.4439

On stochastically complete submanifolds

G. Pacelli Bessa·Luquesio P. Jorge
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Abstract

Using a deep criteria due to Pigola, Rigoli and Setti, we prove that a geodesically complete, properly immersed submanifold M of a stochastically complete Riemannian manifold N is stochastically complete. This implies that the weak Omori-Yau maximum principle holds on M. As geometric application, we prove sectional curvature estimates for properly immersed cilindrically bounded submanifolds.

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BibTeXRIS

G. Pacelli Bessa, Luquesio P. Jorge. 2011-01-19. On stochastically complete submanifolds. https://arxiv.org/abs/1012.4439

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