On the long-time behavior of type-III Ricci flow solutions
| dc.creator | Lott, John | |
| dc.date | 2005-09-27 | |
| dc.date | 2007-05-29 | |
| dc.date.accessioned | 2026-07-07T08:07:18Z | |
| dc.date.available | 2026-07-07T08:07:18Z | |
| dc.description | We show that three-dimensional homogeneous Ricci flow solutions that admit finite-volume quotients have long-time limits given by expanding solitons. We show that the same is true for a large class of four-dimensional homogeneous solutions. We give an extension of Hamilton's compactness theorem that does not assume a lower injectivity radius bound, in terms of Riemannian groupoids. Using this, we show that the long-time behavior of type-III Ricci flow solutions is governed by the dynamics of an R^+ action on a compact space. | |
| dc.description | final version | |
| dc.identifier | https://arxiv.org/abs/math/0509639 | |
| dc.identifier | http://arxiv.org/abs/math/0509639 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130898 | |
| dc.subject | Differential Geometry | |
| dc.title | On the long-time behavior of type-III Ricci flow solutions | |
| dc.type | text |