Superfícies de Weingarten Generalizadas do Tipo Rotacional no 3-Espaço Euclidiano
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 =...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2011 |
| País: | Brasil |
| Institución: | Universidade Federal de Goiás (UFG) |
| Repositorio: | Repositório Institucional da UFG |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.bc.ufg.br:tde/1933 |
| Acceso en línea: | http://repositorio.bc.ufg.br/tede/handle/tde/1933 |
| Access Level: | acceso abierto |
| Palabra clave: | Superfícies Weingarten Generalizadas Superfícies de Rotação 1.Weingarten Generalizada 2.Superfície de Rotação Generalized Weingarten Surfaces Rotation Surfaces CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIA |
| Sumario: | 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. |
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