Transformações de Ribaucour para hipersuperfícies em formas espaciais
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| Autor principal: | |
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| Data de Publicação: | 2008 |
| Formato: | Dissertação |
| Idioma: | por |
| Fonte: | Repositório Institucional da UFG |
| Texto Completo: | http://repositorio.bc.ufg.br/tede/handle/tde/1929 |
Resumo: | The theory of Ribaucour transformations for hypersurfaces in space forms is presented. A method to obtaining linear Weingarten surfaces in a three-dimensional space form is showed. By applying the theory to the cylinder, we obtain a two-parameter family of linear Weingarten surfaces. A new one-parameter family of complete constant mean curvature surfaces in the unit sphere, locally associated to the flat torus, is obtained. We construct new families of constant mean curvature 1 (cmc-1) surfaces which are locally associated to Enneper cousin. |
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