Isoperimetric inequality in noncompact MCP spaces
Metric Geometry
2021-11-12 v2 Functional Analysis
Abstract
We prove a sharp isoperimetric inequality for the class of metric measure spaces verifying the synthetic Ricci curvature lower bounds and having Euclidean volume growth at infinity. We avoid the classical use of the Brunn-Minkowski inequality, not available for , and of the PDE approach, not available in the singular setting. Our approach will be carried over by using a scaling limit of localisation.
Cite
@article{arxiv.2110.07528,
title = {Isoperimetric inequality in noncompact MCP spaces},
author = {Fabio Cavalletti and Davide Manini},
journal= {arXiv preprint arXiv:2110.07528},
year = {2021}
}
Comments
11 pages; proof of main inequality and theorem 3.2 corrected; minor typos corrected