Non-singular solutions to the normalized Ricci flow equation
| dc.creator | Fang, Fuquan | |
| dc.creator | Zhang, Yuguang | |
| dc.creator | Zhang, Zhenlei | |
| dc.date | 2006-09-09 | |
| dc.date.accessioned | 2026-07-07T07:24:41Z | |
| dc.date.available | 2026-07-07T07:24:41Z | |
| dc.description | In this paper we study non-singular solutions of Ricci flow on a closed manifold of dimension at least 4. Amongst others we prove that, if M is a closed 4-manifold on which the normalized Ricci flow exists for all time t>0 with uniformly bounded sectional curvature, then the Euler characteristic $χ(M)\ge 0$. Moreover, the 4-manifold satisfies one of the following \noindent (i) M is a shrinking Ricci solition; \noindent (ii) M admits a positive rank F-structure; \noindent (iii) the Hitchin-Thorpe type inequality holds 2χ(M)\ge 3|τ(M)| where $χ(M)$ (resp. $τ(M)$) is the Euler characteristic (resp. signature) of M. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0609254 | |
| dc.identifier | http://arxiv.org/abs/math/0609254 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116451 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.title | Non-singular solutions to the normalized Ricci flow equation | |
| dc.type | text |