| Title | Isoperimetric inequality in noncompact MCP spaces |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Authors | Cavalletti, F, Manini, D |
| Journal | Proc. Am. Math. Soc. |
| Volume | 150 |
| Pagination | 3537-3548 |
| Date Published | AUG |
| Type of Article | Article |
| ISSN | 0002-9939 |
| Abstract | 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 for MCP(0, N), and of the PDE approach, not available in the singular setting. Our approach will be carried over by using a scaling limit of localization. |
| DOI | 10.1090/proc/15945 |
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