Remarks on non-compact complete Ricci expanding solitons
| dc.creator | Ma, Li | |
| dc.creator | Chen, Dezhong | |
| dc.date | 2005-08-19 | |
| dc.date.accessioned | 2026-07-07T05:22:29Z | |
| dc.date.available | 2026-07-07T05:22:29Z | |
| dc.description | In this paper, we study gradient Ricci expanding solitons $(X,g)$ satisfying $$ Rc=cg+D^2f, $$ where $Rc$ is the Ricci curvature, $c<0$ is a constant, and $D^2f$ is the Hessian of the potential function $f$ on $X$. We show that for a gradient expanding soliton $(X,g)$ with non-negative Ricci curvature, the scalar curvature $R$ has at least one maximum point on $X$, which is the only minimum point of the potential function $f$. Furthermore, $R>0$ on $X$ unless $(X,g)$ is Ricci flat. We also show that there is exponentially decay for scalar curvature for $ε$-pinched complete non-compact expanding solitons. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0508363 | |
| dc.identifier | http://arxiv.org/abs/math/0508363 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76082 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53Cxx | |
| dc.title | Remarks on non-compact complete Ricci expanding solitons | |
| dc.type | text |