On the asymptotic scalar curvature ratio of complete Type I-like ancient solutions to the Ricci flow on non-compact 3-manifolds
| dc.creator | Chow, Bennett | |
| dc.creator | Lu, Peng | |
| dc.date | 2002-11-12 | |
| dc.date.accessioned | 2026-07-07T04:52:51Z | |
| dc.date.available | 2026-07-07T04:52:51Z | |
| dc.description | The main result of this paper is: Given any constant C, there is $(ε,k,L)$ such that if a complete, orientable, noncompact odd-dimensional manifold with bounded positive sectional curvature contains a $(ε,k,L)$-neck, then the asymptotic scalar curvature ratio is bigger or equal to C. As a application we proved that the asymptotic scalar curvature ratio of a complete noncompact ancient Type I-like solution to the Ricci flow with bounded positive sectional curvature on an orientable 3-manifold, is infinity. | |
| dc.description | 28 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0211194 | |
| dc.identifier | http://arxiv.org/abs/math/0211194 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65628 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C44, 53C25 | |
| dc.title | On the asymptotic scalar curvature ratio of complete Type I-like ancient solutions to the Ricci flow on non-compact 3-manifolds | |
| dc.type | text |