$L^2$ Forms and Ricci flow with bounded curvature on Complete Non-compact manifolds
| dc.creator | Ma, Li | |
| dc.creator | Yang, Yang | |
| dc.date | 2005-09-11 | |
| dc.date.accessioned | 2026-07-07T07:38:42Z | |
| dc.date.available | 2026-07-07T07:38:42Z | |
| dc.description | In this paper, we study the evolution of $L^2$ one forms under Ricci flow with bounded curvature on a non-compact Rimennian manifold. We show on such a manifold that the $L^2$ norm of a smooth one form with compact support is non-increasing along the Ricci flow with bounded curvature. The $L^{\infty}$ norm is showed to have monotonicity property too. Then we use $L^{\infty}$ cohomology of one forms with compact support to study the singularity model for the Ricci flow on $S^1\times \mathbb{R}^{n-1}$. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509237 | |
| dc.identifier | http://arxiv.org/abs/math/0509237 | |
| dc.identifier | GEOMETRIAE DEDICATA,119(2006)151-158 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121185 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 53Cxx | |
| dc.title | $L^2$ Forms and Ricci flow with bounded curvature on Complete Non-compact manifolds | |
| dc.type | text |