CMC hypersurfaces on riemannian and semi-riemannian manifolds
| dc.creator | Perdomo, Oscar | |
| dc.date | 2009-04-13 | |
| dc.date.accessioned | 2026-07-07T13:03:25Z | |
| dc.date.available | 2026-07-07T13:03:25Z | |
| dc.description | In this paper we show explicit examples of several families of immersions with constant mean curvature and non constant principal curvatures, in semi-riemannian manifolds with constant sectional curvature. In particular, we prove that every h in [-1,-2 sqrt{n-1}/n) can be realized as the constant curvature of a complete immersion of S_1^{n-1} x R in the (n+1)-dimensional de Sitter space S_1^{n+1}. We provide 3 types of immersions with cmc in the Minkowski space, 5 types of immersion with cmc in the de Sitter space and 5 types of immersion with cmc in the anti de Sitter space. At the end of the paper we analyze the families of examples that can be extended to closed hypersurfaces. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/0904.1984 | |
| dc.identifier | http://arxiv.org/abs/0904.1984 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226798 | |
| dc.subject | Differential Geometry | |
| dc.subject | Mathematical Physics | |
| dc.subject | 53C42 | |
| dc.title | CMC hypersurfaces on riemannian and semi-riemannian manifolds | |
| dc.type | text |