2019-04-122019-03-27BEZERRA, Tatiana Pires Fleury. Variedades de Einstein e Ricci solitons. 2019. 82 f. Tese (Doutorado em Matemática) - Universidade Federal de Goiás, Goiânia, 2019.http://repositorio.bc.ufg.br/tede/handle/tede/9485In 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 steadyapplication/pdfAcesso AbertoGradiente Ricci solitonGradiente quasi Ricci solitonVariedade de EinsteinProduto torcidoGradient Ricci solitonGradient Ricci almost solitonEinstein manifoldsWarpedGEOMETRIA E TOPOLOGIA::GEOMETRIA DIFERENCIALTese