1 Febbraio, 2017 13:15
Sezione di Analisi
Isoperimetric inequality for metric measure spaces
Fabio Cavalletti, SISSA - Scuola Internazionale Superiore di Studi Avanzati
Aula seminari 3° piano
Abstract
By using an L^1 localization argument, we prove that in metric measure spaces satisfying lower Ricci curvature bounds (more precisely RCD*(K,N) or more generally essentially non branching CD*(K,N) the classical Lévy-Gromov isoperimetric inequality holds with the associated rigidity and almost rigidity statements.