Mean value theorems on manifolds
| dc.creator | Ni, Lei | |
| dc.date | 2006-08-24 | |
| dc.date.accessioned | 2026-07-07T07:22:08Z | |
| dc.date.available | 2026-07-07T07:22:08Z | |
| dc.description | We derive several mean value formulae on manifolds, generalizing the classical one for harmonic functions on Euclidean spaces as well as later results of Schoen-Yau, Michael-Simon, etc, on curved Riemannian manifolds. For the heat equation a mean value theorem with respect to `heat spheres' is proved for heat equation with respect to evolving Riemannian metrics via a space-time consideration. Some new monotonicity formulae are derived. As applications of the new local monotonicity formulae, some local regularity theorems concerning Ricci flow are proved. | |
| dc.identifier | https://arxiv.org/abs/math/0608608 | |
| dc.identifier | http://arxiv.org/abs/math/0608608 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115547 | |
| dc.subject | Differential Geometry | |
| dc.title | Mean value theorems on manifolds | |
| dc.type | text |