Quasi-Einstein manifolds with structure of warped product product
Differential Geometry
2019-05-07 v1
Abstract
In this paper we prove that under certain conditions in a quasi Einstein semi Riemannian warped product the fiber is necessarily a Einstein manifold. We provide all the quasi Einstein manifolds when r Bakry Emery tensor is null, the base is conformal to an n-dimensional pseudo-Euclidean space invariant under the action of an n - 1 dimensional translation group and the fiber is Ricci flat. As an application, we have built a family of Ricci flat Einstein warped product whose base is not locally conformally flat.
Cite
@article{arxiv.1905.02006,
title = {Quasi-Einstein manifolds with structure of warped product product},
author = {Paula Gonçalves Correia Bonfim and Romildo Pina},
journal= {arXiv preprint arXiv:1905.02006},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1505.03833