Variedades de Einstein e Ricci solitons
Bewaard in:
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| Publicatiedatum: | 2019 |
| Formaat: | Doctoral thesis |
| Taal: | por |
| Bron: | Repositório Institucional da UFG |
| Download full: | http://repositorio.bc.ufg.br/tede/handle/tede/9485 |
Samenvatting: | 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 |