Asymptotic Stability of the Cross Curvature Flow at a Hyperbolic Metric
| dc.creator | Knopf, Dan | |
| dc.creator | Young, Andrea | |
| dc.date | 2006-09-27 | |
| dc.date | 2008-02-05 | |
| dc.date.accessioned | 2026-07-07T09:18:40Z | |
| dc.date.available | 2026-07-07T09:18:40Z | |
| dc.description | We show that there exists a suitable neighborhood of a constant curvature hyperbolic metric such that, for all initial data in this neighborhood, the corresponding solution to a normalized cross curvature flow exists for all time and converges to a hyperbolic metric. We show that the same technique proves an analogous result for Ricci flow. Additionally, we show short time existence and uniqueness of cross curvature flow for a more general class of initial data than was previously known. | |
| dc.description | Revised version including additional references and enhanced exposition. To appear in PAMS | |
| dc.identifier | https://arxiv.org/abs/math/0609767 | |
| dc.identifier | http://arxiv.org/abs/math/0609767 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154107 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C44; 53C21; 35K55 | |
| dc.title | Asymptotic Stability of the Cross Curvature Flow at a Hyperbolic Metric | |
| dc.type | text |