Finite extinction time for the solutions to the Ricci flow on certain three-manifolds
| dc.creator | Perelman, Grisha | |
| dc.date | 2003-07-17 | |
| dc.date.accessioned | 2026-07-07T04:59:44Z | |
| dc.date.available | 2026-07-07T04:59:44Z | |
| dc.description | Let M be a closed oriented three-manifold, whose prime decomposition contains no aspherical factors. We show that for any initial riemannian metric on M the solution to the Ricci flow with surgery, defined in our previous paper math.DG/0303109, becomes extinct in finite time. The proof uses a version of the minimal disk argument from 1999 paper by Richard Hamilton, and a regularization of the curve shortening flow, worked out by Altschuler and Grayson. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0307245 | |
| dc.identifier | http://arxiv.org/abs/math/0307245 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68106 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C | |
| dc.title | Finite extinction time for the solutions to the Ricci flow on certain three-manifolds | |
| dc.type | text |