Invariant Solutions for Gradient Ricci Almost Solitons
Differential Geometry
2018-10-22 v2
Abstract
In this paper we show that all conformal metrics to a pseudo-euclidean space invariant under the translation group, and all the conformal metrics product manifold also invariant by translation where F m it is Ricci flat semi-Riemannian manifold, are gradient Ricci almost soliton. We also proved that all conformal metrics to a euclidean space and invariant by rotation are gradient Ricci almost soliton.
Cite
@article{arxiv.1705.05499,
title = {Invariant Solutions for Gradient Ricci Almost Solitons},
author = {Tatiana Pires Bezerra Romildo Pina},
journal= {arXiv preprint arXiv:1705.05499},
year = {2018}
}