Modified Curvatures on Manifolds with Boundary and Applications

Feng-Yu Wang

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arXiv · 1102.3552

Modified Curvatures on Manifolds with Boundary and Applications

Feng-Yu Wang

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Abstract

To study the reflecting diffusion processes on manifolds with boundary, some new curvature operators are introduced by using the Bakry-Emery curvature and the second fundamental form. As applications, the gradient estimates, log-Harnack inequality and Poincaré/log-Sobolev inequalities are investigated for the Neumann semigroup on manifolds with boundary.

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Feng-Yu Wang. 2011-02-17. Modified Curvatures on Manifolds with Boundary and Applications. https://arxiv.org/abs/1102.3552

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