Christian Baer, G. Pacelli Bessa
Published 2009-08-28, updated 2009-11-13Version 2
It has been suggested in 1999 that a certain volume growth condition for geodesically complete Riemannian manifolds might imply that the manifold is stochastically complete. This is motivated by a large class of examples and by a known analogous criterion for recurrence of Brownian motion. We show that the suggested implication is not true in general. We also give counter-examples to a converse implication.
Comments: 11 pages, 5 figures, published version
Journal: Proc. Amer. Math. Soc. 138 (2010), 2629-2640
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