Modified Curvatures on Manifolds with Boundary and Applications
Probability
2011-02-18 v1
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 Poincar\'e/log-Sobolev inequalities are investigated for the Neumann semigroup on manifolds with boundary.
Cite
@article{arxiv.1102.3552,
title = {Modified Curvatures on Manifolds with Boundary and Applications},
author = {Feng-Yu Wang},
journal= {arXiv preprint arXiv:1102.3552},
year = {2011}
}
Comments
17 pages