Four-dimensional pseudo-Riemannian homogeneous Ricci solitons
Differential Geometry
2015-02-03 v4
Abstract
We consider four-dimensional homogeneous pseudo-Riemannian manifolds with non-trivial isotropy and completely classify the cases giving rise to non-trivial homogeneous Ricci solitons. In particular, we show the existence of non-compact homogeneous (and also invariant) pseudo-Riemannian Ricci solitons which are not isometric to solvmanifolds, and of conformally flat homogeneous pseudo-Riemannian Ricci solitons which are not symmetric.
Keywords
Cite
@article{arxiv.1111.6384,
title = {Four-dimensional pseudo-Riemannian homogeneous Ricci solitons},
author = {Giovanni Calvaruso and Anna Fino},
journal= {arXiv preprint arXiv:1111.6384},
year = {2015}
}
Comments
16 pages; Final version, to appear in International Journal of Geometric Methods in Modern Physics