Modified Curvatures on Manifolds with Boundary and Applications

Details Modified Curvatures on Manifolds with Boundary and Applications Modified Curvatures on Manifolds with Boundary and Applications

2011-02-17

arxiv.org/abs/1102.3552v1

Mathematics

Probability

17 pages

Scientific paper

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.

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