| Title | Isoperimetric inequality under Measure-Contraction property |
| Publication Type | Journal Article |
| Year of Publication | 2019 |
| Authors | Cavalletti, F, Santarcangelo, F |
| Volume | 277 |
| Issue | 9 |
| Pagination | 2893 - 2917 |
| Date Published | 2019/11/01/ |
| ISBN Number | 0022-1236 |
| Keywords | Isoperimetric inequality; Measure-Contraction property; Optimal transport; Ricci curvature |
| Abstract | We prove that if (X,d,m) is an essentially non-branching metric measure space with m(X)=1, having Ricci curvature bounded from below by K and dimension bounded above by N∈(1,∞), understood as a synthetic condition called Measure-Contraction property, then a sharp isoperimetric inequality à la Lévy-Gromov holds true. Measure theoretic rigidity is also obtained. |
| URL | https://www.sciencedirect.com/science/article/pii/S0022123619302289 |
| Short Title | Journal of Functional Analysis |
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