Ricci curvature for metric-measure spaces via optimal transport
| dc.creator | Lott, John | |
| dc.creator | Villani, Cedric | |
| dc.date | 2004-12-07 | |
| dc.date | 2006-06-23 | |
| dc.date.accessioned | 2026-07-07T06:39:08Z | |
| dc.date.available | 2026-07-07T06:39:08Z | |
| dc.description | We define a notion of a measured length space X having nonnegative N-Ricci curvature, for N finite, or having infinity-Ricci curvature bounded below by K, for K a real number. The definitions are in terms of the displacement convexity of certain functions on the associated Wasserstein space P_2(X) of probability measures. We show that these properties are preserved under measured Gromov-Hausdorff limits. We give geometric and analytic consequences. | |
| dc.description | final version, Appendix D of previous version to appear separately | |
| dc.identifier | https://arxiv.org/abs/math/0412127 | |
| dc.identifier | http://arxiv.org/abs/math/0412127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100970 | |
| dc.subject | Differential Geometry | |
| dc.title | Ricci curvature for metric-measure spaces via optimal transport | |
| dc.type | text |