Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals
Functional Analysis
2008-04-25 v1 Metric Geometry
Abstract
We use Brunn-Minkowski inequalities for quermassintegrals to deduce a family of inequalities of Poincar\'e type on the unit sphere and on the boundary of smooth convex bodies in the -dimensional Euclidean space.
Keywords
Cite
@article{arxiv.0804.3867,
title = {Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals},
author = {Andrea Colesanti and Eugenia Saorin-Gomez},
journal= {arXiv preprint arXiv:0804.3867},
year = {2008}
}
Comments
15 pages