Hipersuperfícies de curvatura média constante folheadas por esferas
This MSc will explore hypersurfaces n-dimensional (lines) in Euclidean space Rn +1 and in the hyperbolic space Hn +1. Consider that the hypersurfaces have constant mean curvature and are plated by (n-1)-hyperspheres. We will need results classics as Alexandrov's theorem and a theorem of symmetr...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2008 |
| País: | Brasil |
| Institución: | Universidade Federal de Alagoas (UFAL) |
| Repositorio: | Repositório Institucional da Universidade Federal de Alagoas (UFAL) |
| Idioma: | portugués |
| OAI Identifier: | oai:www.repositorio.ufal.br:riufal/5570 |
| Acceso en línea: | http://www.repositorio.ufal.br/handle/riufal/5570 |
| Access Level: | acceso abierto |
| Palabra clave: | Geometria diferencial Hipersuperfícies Folheação (Matemática) Curvatura media Differential geometry Hypersurfaces Foliage (Mathematics) Medium curvature CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Sumario: | This MSc will explore hypersurfaces n-dimensional (lines) in Euclidean space Rn +1 and in the hyperbolic space Hn +1. Consider that the hypersurfaces have constant mean curvature and are plated by (n-1)-hyperspheres. We will need results classics as Alexandrov's theorem and a theorem of symmetry. Basically answer the following question: When a hypersurface of dimension n with constant mean curvature and sliced by a ball in the space above is a hypersurface of revolution? Moreover, in Rn +1 the spheres will be contained in parallel hyperplanes and in horoesferas Hn +1. |
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