Variedades de Einstein e Ricci solitons

• Autor(a) principal: Bezerra, Tatiana Pires Fleury
• Data de Publicação: 2019
• Tipo de documento: Tese
• Idioma: por
• Título da fonte: Repositório Institucional da UFG
• dARK ID: ark:/38995/001300000907b
• Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/9485
• topic: 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

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