Ricci flow on surfaces with cusps
| dc.creator | Ji, Lizhen | |
| dc.creator | Mazzeo, Rafe | |
| dc.creator | Sesum, Natasa | |
| dc.date | 2007-03-12 | |
| dc.date | 2009-05-11 | |
| dc.date.accessioned | 2026-07-07T13:13:12Z | |
| dc.date.available | 2026-07-07T13:13:12Z | |
| dc.description | We consider the normalized Ricci flow $\del_t g = (ρ- R)g$ with initial condition a complete metric $g_0$ on an open surface $M$ where $M$ is conformal to a punctured compact Riemann surface and $g_0$ has ends which are asymptotic to hyperbolic cusps. We prove that when $χ(M) < 0$ and $ρ< 0$, the flow $g(t)$ converges exponentially to the unique complete metric of constant Gauss curvature $ρ$ in the conformal class. | |
| dc.identifier | https://arxiv.org/abs/math/0703357 | |
| dc.identifier | http://arxiv.org/abs/math/0703357 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229812 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C44 | |
| dc.title | Ricci flow on surfaces with cusps | |
| dc.type | text |