Parabolic Weingarten surfaces in hyperbolic space
| dc.creator | López, Rafael | |
| dc.date | 2008-09-22 | |
| dc.date.accessioned | 2026-07-07T10:04:36Z | |
| dc.date.available | 2026-07-07T10:04:36Z | |
| dc.description | A surface in hyperbolic space $\h^3$ invariant by a group of parabolic isometries is called a parabolic surface. In this paper we investigate parabolic surfaces of $\h^3$ that satisfy a linear Weingarten relation of the form $aκ_1+bκ_2=c$ or $aH+bK=c$, where $a,b,c\in \r$ and, as usual, $κ_i$ are the principal curvatures, $H$ is the mean curvature and $K$ is de Gaussian curvature. We classify all parabolic linear Weingarten surfaces in hyperbolic space. | |
| dc.description | 22 pages, 10 figures; This work was announced in arXiv:0704.2755 | |
| dc.identifier | https://arxiv.org/abs/0809.3821 | |
| dc.identifier | http://arxiv.org/abs/0809.3821 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169735 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A10; 53C42; 53C45 | |
| dc.title | Parabolic Weingarten surfaces in hyperbolic space | |
| dc.type | text |