A remark on odd dimensional normalized Ricci flow
| dc.creator | Huang, Hong | |
| dc.date | 2007-10-24 | |
| dc.date | 2007-12-17 | |
| dc.date.accessioned | 2026-07-07T08:49:12Z | |
| dc.date.available | 2026-07-07T08:49:12Z | |
| dc.description | Let $(M^n,g_0)$ ($n$ odd) be a compact Riemannian manifold with $λ(g_0)>0$, where $λ(g_0)$ is the first eigenvalue of the operator $-4Δ_{g_0}+R(g_0)$, and $R(g_0)$ is the scalar curvature of $(M^n,g_0)$. Assume the maximal solution $g(t)$ to the normalized Ricci flow with initial data $(M^n,g_0)$ satisfies $|R(g(t))| \leq C$ and $\int_M |Rm(g(t))|^{n/2}dμ_t \leq C$ uniformly for a constant $C$. Then we show that the solution sub-converges to a shrinking Ricci soliton. Moreover,when $n=3$, the condition $\int_M |Rm(g(t))|^{n/2}dμ_t \leq C$ can be removed. | |
| dc.description | 2 pages, some minor corrections and improvements | |
| dc.identifier | https://arxiv.org/abs/0710.4414 | |
| dc.identifier | http://arxiv.org/abs/0710.4414 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144212 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C44 | |
| dc.title | A remark on odd dimensional normalized Ricci flow | |
| dc.type | text |