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

Bang-Xian Han

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arXiv · 2111.02944

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

Bang-Xian Han

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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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Bang-Xian Han. 2021-11-04. A sharp isoperimetric inequality in metric measure spaces with non-negative Ricci curvature. https://arxiv.org/abs/2111.02944

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