Sobre a aplicação de Gauss de hipersuperficies com curvatura escalar constante em esferas
The purpose of the dissertation is to characterize hypersurfaces in the Euclidean sphere with constant mean curvature of higher order. We prove that if M is a Riemannian manifold of dimension n and the image of the Gaussian map of M is contained in a closed hemisphere of the sphere of dimension n+1...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2006 |
| País: | Brasil |
| Institución: | Universidade Federal do Ceará (UFC) |
| Repositorio: | Repositório Institucional da Universidade Federal do Ceará (UFC) |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufc.br:riufc/61259 |
| Acceso en línea: | http://www.repositorio.ufc.br/handle/riufc/61259 |
| Access Level: | acceso abierto |
| Palabra clave: | Geometria diferencial Hipersuperfícies Curvatura Aplicação de Gauss |
| Sumario: | The purpose of the dissertation is to characterize hypersurfaces in the Euclidean sphere with constant mean curvature of higher order. We prove that if M is a Riemannian manifold of dimension n and the image of the Gaussian map of M is contained in a closed hemisphere of the sphere of dimension n+1 then M is totally umbilical. |
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