Ricci Flow with Surgery on Four-manifolds with Positive Isotropic Curvature
| dc.creator | Chen, Bing-Long | |
| dc.creator | Zhu, Xi-Ping | |
| dc.date | 2005-04-23 | |
| dc.date | 2006-06-04 | |
| dc.date.accessioned | 2026-07-07T06:39:50Z | |
| dc.date.available | 2026-07-07T06:39:50Z | |
| dc.description | In this paper we study the Ricci flow on compact four-manifolds with positive isotropic curvature and with no essential incompressible space form. Our purpose is two-fold. One is to give a complete proof of Hamilton's classification theorem on four-manifolds with positive isotropic curvature and with no essential incompressible space form; the other is to extend some recent results of Perelman on the three-dimensional Ricci flow to four-manifolds. During the the proof we have actually provided, up to slight modifications, all necessary details for the part from Section 1 to Section 5 of Perelman's second paper on the Ricci flow. | |
| dc.description | 105 pages (revised) | |
| dc.identifier | https://arxiv.org/abs/math/0504478 | |
| dc.identifier | http://arxiv.org/abs/math/0504478 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101225 | |
| dc.subject | Differential Geometry | |
| dc.title | Ricci Flow with Surgery on Four-manifolds with Positive Isotropic Curvature | |
| dc.type | text |