Examples of algebraic Ricci solitons in the Pseudo-Riemannian case
Differential Geometry
2012-03-22 v3
Abstract
This paper provides a study of algebraic Ricci solitons in the pseudo-Riemannian case. In the Riemannian case, all nontrivial homogeneous algebraic Ricci solitons are expanding algebraic Ricci solitons. In this paper, we obtain a steady algebraic Ricci soliton and a shrinking algebraic Ricci soliton in the Lorentzian setting.
Keywords
Cite
@article{arxiv.1112.0424,
title = {Examples of algebraic Ricci solitons in the Pseudo-Riemannian case},
author = {Kensuke Onda},
journal= {arXiv preprint arXiv:1112.0424},
year = {2012}
}
Comments
18 pages