ISOPERIMETRIC INEQUALITY IN NONCOMPACT MCP SPACES

We prove a sharp isoperimetric inequality for the class of metric measure spaces verifying the synthetic Ricci curvature lower bounds Measure Contraction property (MCP(0, N)) and having Euclidean volume growth at infinity. We avoid the classical use of the Brunn-Minkowski inequality, not available f...

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Bibliographic Details
Main Authors: Cavalletti, F. (Author), Manini, D. (Author)
Format: Article
Language:English
Published: American Mathematical Society 2022
Online Access:View Fulltext in Publisher