Michael-Simon inequalities for $k$-th mean curvatures
Differential Geometry
2013-05-15 v1
Abstract
This paper continues the study of Alexandrov-Fenchel inequalities for quermassintegrals for -convex domains. It focuses on the application to the Michael-Simon type inequalities for -curvature operators. The proof uses optimal transport maps as a tool to relate curvature quantities defined on the boundary of a domain.
Keywords
Cite
@article{arxiv.1305.3000,
title = {Michael-Simon inequalities for $k$-th mean curvatures},
author = {Yi Wang},
journal= {arXiv preprint arXiv:1305.3000},
year = {2013}
}
Comments
22 pages