MENU

You are here

Isoperimetric inequality under Measure-Contraction property

TitleIsoperimetric inequality under Measure-Contraction property
Publication TypeJournal Article
Year of Publication2019
AuthorsCavalletti, F, Santarcangelo, F
Volume277
Issue9
Pagination2893 - 2917
Date Published2019/11/01/
ISBN Number0022-1236
KeywordsIsoperimetric inequality; Measure-Contraction property; Optimal transport; Ricci curvature
Abstract

We prove that if (X,d,m) is an essentially non-branching metric measure space with m(X)=1, having Ricci curvature bounded from below by K and dimension bounded above by N∈(1,∞), understood as a synthetic condition called Measure-Contraction property, then a sharp isoperimetric inequality à la Lévy-Gromov holds true. Measure theoretic rigidity is also obtained.

URLhttps://www.sciencedirect.com/science/article/pii/S0022123619302289
Short TitleJournal of Functional Analysis

Sign in