On linear Weingarten surfaces
| dc.creator | López, Rafael | |
| dc.date | 2006-07-28 | |
| dc.date.accessioned | 2026-07-07T08:08:03Z | |
| dc.date.available | 2026-07-07T08:08:03Z | |
| dc.description | In this paper we study surfaces in Euclidean 3-space that satisfy a Weingarten condition of linear type as $κ_1=m κ_2 +n$, where $m$ and $n$ are real numbers and $κ_1$ and $κ_2$ denote the principal curvatures at each point of the surface. We investigate the possible existence of such surfaces parametrized by a uniparametric family of circles. Besides the surfaces of revolution, we prove that not exist more except the case $(m,n)=(-1,0)$, that is, if the surface is one of the classical examples of minimal surfaces discovered by Riemann. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0607748 | |
| dc.identifier | http://arxiv.org/abs/math/0607748 | |
| dc.identifier | to appear in the International Journal of Mathematics, 2007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131129 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A05; 53C40 | |
| dc.title | On linear Weingarten surfaces | |
| dc.type | text |