Calabi flow in Riemann surfaces revisited: A new point of view
| dc.creator | Chen, Xiuxiong | |
| dc.date | 2000-09-29 | |
| dc.date | 2000-10-04 | |
| dc.date.accessioned | 2026-07-07T04:37:44Z | |
| dc.date.available | 2026-07-07T04:37:44Z | |
| dc.description | In this paper, we observe a set of functionals of metrics which are all decrease under the Calabi flow and have uniform lower bound along the flow, which give rise to a set of integral estimates on the curvature flow. Using these estimates, together with weak compactness we obtained in previous papers [8] and [10], we prove the long term existence and convergence of the Calabi flow. Thus give a new proof to Chruscial's theorem. The set of simple ideas of global integral estimates and concentration compactness should have further implications in other heat flow problems. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0009246 | |
| dc.identifier | http://arxiv.org/abs/math/0009246 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60011 | |
| dc.subject | Differential Geometry | |
| dc.title | Calabi flow in Riemann surfaces revisited: A new point of view | |
| dc.type | text |