Model spaces for sharp isoperimetric inequalities
type: Item
instance of: scholarly article
title: Model spaces for sharp isoperimetric inequalities
zbMATH Open document ID: 1258.53035
author: Emanuel Milman
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2012-11-20T00:00:00Z
review text: The author obtain new sharp isoperimetric inequalities on a Riemannian manifold equipped with a probability measure, whose generalized Ricci curvature is bounded from below and generalized dimension and diameter of the convex support are bounded from above. These inequalities are sharp for sets of any given measure and with respect to all parameters (curvature, dimension and diameter). For each choice of the parameters, the model spaces which are extremal for the isoperimetric problem are considered. In particular, the Gromov-Levy and Bakry-Ledoux isoperimetric inequalities are recovered.
reviewed by: Gheorghe Pitiş
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 6108967
zbMATH Keywords: Riemannian manifold
zbMATH Keywords: probability measure
zbMATH Keywords: diameter
zbMATH Keywords: generalized Ricci curvature
zbMATH Keywords: isoperimetric inequalities
MaRDI profile type: Publication
full work available at URL: j.crma.2012.10.016
OpenAlex ID: W1997592416
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DOI: 10.1016/J.CRMA.2012.10.016
description: scientific article; zbMATH DE number 6108967