Superfícies de Weingarten Generalizadas do Tipo Rotacional no 3-Espaço Euclidiano
Salvato in:
| Autore principale: | |
|---|---|
| Data di pubblicazione: | 2011 |
| Natura: | Master thesis |
| Lingua: | por |
| Fonte: | Repositório Institucional da UFG |
| Download full: | http://repositorio.bc.ufg.br/tede/handle/tde/1933 |
Riassunto: | In this work, we study the surfaces of rotation S which are Weingarten general, in which the Gaussian curvature K and mean curvature H of this surface satisfies the following relationship (w2 􀀀r2)K +2wH +1 = 0, where w and r are harmonic functions with respect to the quadratic form s = II +wIII and II, III are the surface s second and third quadratic form. Inspired by the work of Schief [15], we obtain a characterization of these surfaces determined by functions satisfying a system of ordinary differential equations, as application we prove that with an additional condition these surfaces are spheres. |