A sharp isoperimetric inequality in metric measure spaces with non-negative Ricci curvature

2021/11/04 by Han, Bang-Xian
#Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2111.02944

Abstract

We prove a sharp dimension-free isoperimetric inequality, involving the volume entropy, in non-compact metric measure spaces with non-negative synthetic Ricci curvature.

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