On compact CMC-Hypersurfaces of $N\times \mathbb{R}$
| dc.creator | Bessa, Gregorio Pacelli | |
| dc.creator | Montenegro, J. Fabio | |
| dc.date | 2006-08-14 | |
| dc.date | 2006-09-04 | |
| dc.date.accessioned | 2026-07-07T09:37:08Z | |
| dc.date.available | 2026-07-07T09:37:08Z | |
| dc.description | Let ${\mathscr F}(N\times \mathbb{R})$ be the set of all closed $H$-hypersurfaces $M\subset N\times \mathbb{R}$, where $N$ is a simply connected complete Riemannian $n$-manifold with sectional curvature $K_{N}\leq -κ^{2}<0$. We show that ${\Hm}(N\times \mathbb{R})=\inf_{M\in {\mathscr F}(N\times \mathbb{R})}\{| H_{M}| \}\geq (n-1)κ/n $. | |
| dc.description | We changed the title from a Remark on compact CMC-Hypersurfaces of $N\times \mathbb{R}$ to On compact and we added another theorem to the paper (theorem 1.4) | |
| dc.identifier | https://arxiv.org/abs/math/0608342 | |
| dc.identifier | http://arxiv.org/abs/math/0608342 | |
| dc.identifier | Geom. Dedicata 127 (2007), 1--5. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160353 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C40 | |
| dc.title | On compact CMC-Hypersurfaces of $N\times \mathbb{R}$ | |
| dc.type | text |