Curvaturas de métricas invariantes em Grupos de Lie
In this work we study the geometric aspects of Lie groups from the view point of the Riemannian geometry, by means of invariant geometric structures associated. We present some properties on curvatures of metrics left invariants and bi-invariant one on Lie groups. We also present a treatment of the...
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| Formato: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Brasil |
| Recursos: | Universidade Federal de Uberlândia (UFU) |
| Repositorio: | Repositório Institucional da UFU |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufu.br:123456789/16821 |
| Acesso em linha: | https://repositorio.ufu.br/handle/123456789/16821 https://doi.org/10.14393/ufu.di.2015.208 |
| Access Level: | acceso abierto |
| Palavra-chave: | Geometria diferencial Grupos de Lie Álgebras de Lie, Métricas Invariantes Lie, Álgebra de Differential Geometry Lie Groups Lie algebras Metrics Invariant CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Resumo: | In this work we study the geometric aspects of Lie groups from the view point of the Riemannian geometry, by means of invariant geometric structures associated. We present some properties on curvatures of metrics left invariants and bi-invariant one on Lie groups. We also present a treatment of the Lie algebras unimodular, including the tridimensional case. Most of the results studied are from the article of John Milnor: Curvatures of Left Invariant Metrics on Lie Groups. |
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