Variedades de Einstein e Ricci solitons
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Data
2019-03-27
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Universidade Federal de Goiás
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
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Citação
BEZERRA, Tatiana Pires Fleury. Variedades de Einstein e Ricci solitons. 2019. 82 f. Tese (Doutorado em Matemática) - Universidade Federal de Goiás, Goiânia, 2019.