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

Published 4 Nov 2021 in math.MG, math.DG, and math.FA | (2111.02944v1)

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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