Minimal translation surfaces in hyperbolic space
| dc.creator | López, Rafael | |
| dc.date | 2009-02-24 | |
| dc.date.accessioned | 2026-07-07T12:46:11Z | |
| dc.date.available | 2026-07-07T12:46:11Z | |
| dc.description | In the half-space model of hyperbolic space, that is, $\r^3_{+}=\{(x,y,z)\in\r^3;z>0\}$ with the hyperbolic metric, a translation surface is a surface that writes as $z=f(x)+g(y)$ or $y=f(x)+g(z)$, where $f$ and $g$ are smooth functions. We prove that the only minimal translation surfaces (zero mean curvature in all points) are totally geodesic planes. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0902.4085 | |
| dc.identifier | http://arxiv.org/abs/0902.4085 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221296 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A10 | |
| dc.title | Minimal translation surfaces in hyperbolic space | |
| dc.type | text |