Spacelike graphs with parallel mean curvature
| dc.creator | Salavessa, Isabel M. C. | |
| dc.date | 2006-02-19 | |
| dc.date | 2007-04-02 | |
| dc.date.accessioned | 2026-07-07T07:54:55Z | |
| dc.date.available | 2026-07-07T07:54:55Z | |
| dc.description | We consider spacelike graphs $Γ_f$ of simple products $(M\times N, g\times -h)$ where $(M,g)$ and $(N,h)$ are Riemannian manifolds and $f:M\to N$ is a smooth map. Under the condition of the Cheeger constant of $M$ to be zero and some condition on the second fundamental form at infinity, we conclude that if $Γ_f \subset M\times N$ has parallel mean curvature $H$ then $H=0$. This holds trivially if $M$ is closed. If $M$ is the $m$-hyperbolic space then for any constant $c$, we describe a explicit foliation of $H^m\times R$ by hypersurfaces with constant mean curvature $c$. | |
| dc.description | 11 pages. Some small corrrections of version 1. To appear in the Bull. Belgian Math. Soc. Simon Stevin | |
| dc.identifier | https://arxiv.org/abs/math/0602410 | |
| dc.identifier | http://arxiv.org/abs/math/0602410 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126796 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C42; 53C50 | |
| dc.title | Spacelike graphs with parallel mean curvature | |
| dc.type | text |