Homogeneous Ricci solitons in low dimensions
Differential Geometry
2013-12-31 v1
Abstract
In this article we classify expanding homogeneous Ricci solitons up to dimension 5, according to their presentation as homogeneous spaces. We obtain that they are all isometric to solvsolitons, and this in particular implies that the generalized Alekseevskii conjecture holds in these dimensions. In addition, we prove that the conjecture holds in dimension 6 provided the transitive group is not semisimple.
Keywords
Cite
@article{arxiv.1312.7461,
title = {Homogeneous Ricci solitons in low dimensions},
author = {Romina M. Arroyo and Ramiro Lafuente},
journal= {arXiv preprint arXiv:1312.7461},
year = {2013}
}
Comments
20 pages, 3 tables; Appendix by Jorge Lauret