Ricci flow of almost non-negatively curved three manifolds
| dc.creator | Simon, Miles | |
| dc.date | 2006-12-04 | |
| dc.date.accessioned | 2026-07-07T07:34:38Z | |
| dc.date.available | 2026-07-07T07:34:38Z | |
| dc.description | In this paper we study the evolution of almost non-negatively curved (possibly singular) three dimensional metric spaces by Ricci flow. The non-negatively curved metric spaces which we consider arise as limits of smooth Riemannian manifolds (M_i,g_i), i \in N, whose Ricci curvature is not less than -c^2(i), where c^2(i) goes to zero as i goes to infinity, and whose diameter is bounded by a constant independent of i, and whose volume is bounded from below by a positive constant independent of i. We show for such spaces, that a solution to Ricci flow exists for a short time, and that the solution is smooth for all positive times and that it has non-negative Ricci curvature. This allows us to classify the topological type and the differential structure of the limit manifold (in view of Hamilton's Theorem on closed three manifolds with non-negative Ricci curvature). | |
| dc.identifier | https://arxiv.org/abs/math/0612095 | |
| dc.identifier | http://arxiv.org/abs/math/0612095 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119830 | |
| dc.subject | Differential Geometry | |
| dc.subject | Metric Geometry | |
| dc.title | Ricci flow of almost non-negatively curved three manifolds | |
| dc.type | text |