Embedded cmc hypersurfaces on hyperbolic spaces
| dc.creator | Perdomo, Oscar M. | |
| dc.date | 2009-03-28 | |
| dc.date.accessioned | 2026-07-07T12:57:38Z | |
| dc.date.available | 2026-07-07T12:57:38Z | |
| dc.description | In this paper we will prove that for every integer n>1, there exists a real number H_0<-1 such that every H\in (-\infty,H_0) can be realized as the mean curvature of a embedding of H^{n-1}\times S^1 in the (n+1)-dimensional spaces H^{n+1}. For $n=2$ we explicitly compute the value H_0. For a general value n, we provide function ξ_n defined on (-\infty,-1), which is easy to compute numerically, such that, if ξ_n(H)>-2π, then, H can be realized as the mean curvature of a embedding of H^{n-1}\times S^1 in the (n+1)-dimensional spaces H^{n+1}. | |
| dc.description | 14 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/0903.4934 | |
| dc.identifier | http://arxiv.org/abs/0903.4934 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224997 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C42 53C50 | |
| dc.title | Embedded cmc hypersurfaces on hyperbolic spaces | |
| dc.type | text |