How to Obtain Transience from Bounded Radial Mean Curvature
نویسندگان
چکیده
We show that Brownian motion on any unbounded submanifold P in an ambient manifold N with a pole p is transient if the following conditions are satisfied: The p-radial mean curvatures of P are sufficiently small outside a compact set and the p-radial sectional curvatures of N are sufficiently negative. The ‘sufficiency’ conditions are obtained via comparison with explicit transience criteria for radially drifted Brownian motion in warped product model spaces.
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