Rotational linear Weingarten surfaces of hyperbolic type
| dc.creator | Lopez, Rafael | |
| dc.date | 2006-10-18 | |
| dc.date.accessioned | 2026-07-07T08:08:15Z | |
| dc.date.available | 2026-07-07T08:08:15Z | |
| dc.description | A linear Weingarten surface in Euclidean space ${\bf R}^3$ is a surface whose mean curvature $H$ and Gaussian curvature $K$ satisfy a relation of the form $aH+bK=c$, where $a,b,c\in {\bf R}$. Such a surface is said to be hyperbolic when $a^2+4bc<0$. In this paper we classify all rotational linear Weingarten surfaces of hyperbolic type. As a consequence, we obtain a family of complete hyperbolic linear Weingarten surfaces in ${\bf R}^3$ that consists into periodic surfaces with self-intersections. | |
| dc.description | 15 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0610543 | |
| dc.identifier | http://arxiv.org/abs/math/0610543 | |
| dc.identifier | to appear Israel Journal of Mathematics, 2007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131203 | |
| dc.subject | Differential Geometry | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 53A10; 49Q05; 35L70; 35Q53 | |
| dc.title | Rotational linear Weingarten surfaces of hyperbolic type | |
| dc.type | text |