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arXiv · 0804.3867

Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals

Andrea Colesanti·Eugenia Saorin-Gomez
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Abstract

We use Brunn-Minkowski inequalities for quermassintegrals to deduce a family of inequalities of Poincaré type on the unit sphere and on the boundary of smooth convex bodies in the $n$-dimensional Euclidean space.

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Andrea Colesanti, Eugenia Saorin-Gomez. 2008-04-24. Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals. https://arxiv.org/abs/0804.3867

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