Vertical Ends of Constant Mean Curvature H=1/2 in H^2\times R
| dc.creator | Nelli, Barbara | |
| dc.creator | Earp, Ricardo Sa | |
| dc.date | 2008-03-14 | |
| dc.date | 2009-05-05 | |
| dc.date.accessioned | 2026-07-07T13:11:06Z | |
| dc.date.available | 2026-07-07T13:11:06Z | |
| dc.description | We prove a vertical halfspace theorem for surfaces with constant mean curvature $H={1/2},$ properly immersed in the product space $\h^2\times\re,$ where $\h^2$ is the hyperbolic plane and $\re$ is the set of real numbers. The proof is a geometric application of the classical maximum principle for second order elliptic PDE, using the family of non compact rotational $H=1/2$ surfaces in $\h^2\times\re.$ | |
| dc.description | This is a revised version of the article that we submit before. There was a problem in the construction of graphical ends. We are presently working to fix it.The main geometric constructions will be mantained (replace the previous boundary with a planar boundary curve).Here we present the halfspace type theorem, that correspond to Section 4 of the previous article | |
| dc.identifier | https://arxiv.org/abs/0803.2244 | |
| dc.identifier | http://arxiv.org/abs/0803.2244 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229183 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.title | Vertical Ends of Constant Mean Curvature H=1/2 in H^2\times R | |
| dc.type | text |