Hipersuperfícies no espaço hiperbólico associadas à equação da curvatura escalar constante
In this work we present a study of a class of oriented hypersurfaces in hyperbolic space satisfying a special linear relation between the rth mean curvatures which is based on a Walterson Ferreira and Pedro Roitman’s article, where this class is characterized by a harmonic map derived from the two h...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Brasil |
| Institución: | Universidade Federal de Goiás (UFG) |
| Repositorio: | Repositório Institucional da UFG |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.bc.ufg.br:tede/3868 |
| Acceso en línea: | http://repositorio.bc.ufg.br/tede/handle/tede/3868 |
| Access Level: | acceso abierto |
| Palabra clave: | Hipersuperfícies no espaço hiperbólico Métricas conformemente plana Curvatura escalar constante C-Weingarten Hypersurfaces in hyperbolic space Conformally flat metrics Constant scalar curvature CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Sumario: | In this work we present a study of a class of oriented hypersurfaces in hyperbolic space satisfying a special linear relation between the rth mean curvatures which is based on a Walterson Ferreira and Pedro Roitman’s article, where this class is characterized by a harmonic map derived from the two hyperbolic Gauss maps.We also show the relation of such hypersufaces with solutions of the equation Du+kun+2 n2 = 0, where k 2 f1;0;1g. |
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