Ricci Solitons on Lorentzian Manifolds with Large Isometry Groups
Differential Geometry
2014-02-26 v1
Abstract
We show that Lorentzian manifolds whose isometry group is of dimension at least are expanding, steady and shrinking Ricci solitons and steady gradient Ricci solitons. This provides examples of complete locally conformally flat and symmetric Lorentzian Ricci solitons which are not rigid.
Keywords
Cite
@article{arxiv.1007.3397,
title = {Ricci Solitons on Lorentzian Manifolds with Large Isometry Groups},
author = {W. Batat and M. Brozos-Vazquez and E. Garcia-Rio and S. Gavino-Fernandez},
journal= {arXiv preprint arXiv:1007.3397},
year = {2014}
}