Variedades de Einstein e Ricci solitons
In this work, we prove that all metrics conformal to the pseudo-Euclidean space ( , ), invariant under the action ( -1)-dimensional translation group and also invariants by a pseudo orthogonal group action are gradient Ricci almost solitons. We also prove that all metrics conformal to = ( , ̅) , inv...
| Autor: | |
|---|---|
| Formato: | tesis doctoral |
| Estado: | Versión publicada |
| Fecha de publicación: | 2019 |
| País: | Brasil |
| Recursos: | Universidade Federal de Goiás (UFG) |
| Repositorio: | Repositório Institucional da UFG |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.bc.ufg.br:tede/9485 |
| Acesso em linha: | http://repositorio.bc.ufg.br/tede/handle/tede/9485 |
| Access Level: | acceso abierto |
| Palavra-chave: | Gradiente Ricci soliton Gradiente quasi Ricci soliton Variedade de Einstein Produto torcido Gradient Ricci soliton Gradient Ricci almost soliton Einstein manifolds Warped GEOMETRIA E TOPOLOGIA::GEOMETRIA DIFERENCIAL |
| Resumo: | In this work, we prove that all metrics conformal to the pseudo-Euclidean space ( , ), invariant under the action ( -1)-dimensional translation group and also invariants by a pseudo orthogonal group action are gradient Ricci almost solitons. We also prove that all metrics conformal to = ( , ̅) , invariant under the action ( -1)-dimensional translation group and Ricci flat are gradient Ricci almost soliton. We classify all Einstein manifolds of the type = ( , ̅) , where ̅ , invariant under the action ( -1)-dimensional translation group and Ricci flat with . If is gradiente Ricci soliton of type = ( , ̅) and the fiber is Ricci flat then is teady and we provide all such solutions. Finally we prove that if the warped product = ( , ̅) is a gradient Ricci soliton with Ricci flat, and further, then is steady |
|---|