Ricci solitons of special Lorentzian Lie groups with a four-dimensional isometry group
Differential Geometry
2025-11-11 v1
Abstract
In the framework of the study of homogeneous Lorentzian three-manifolds, we consider here the only class of examples which admit a four-dimensional group of isometries but are neither Lorentzian Bianchi-Cartan-Vranceanu spaces nor plane waves. We obtain an explicit description in global coordinates of these special homogeneous Lorentzian manifolds. We then prove that all such examples are non-gradient expanding Ricci solitons.
Cite
@article{arxiv.2511.06923,
title = {Ricci solitons of special Lorentzian Lie groups with a four-dimensional isometry group},
author = {Giovanni Calvaruso and Lorenzo Pellegrino and Amirhesam Zaeim},
journal= {arXiv preprint arXiv:2511.06923},
year = {2025}
}
Comments
12 pages. Accepted for publication in the Journal of Lie Theory