Cyclic Lorentzian Lie Groups
Differential Geometry
2015-04-30 v1
Abstract
We consider Lie groups equipped with a left-invariant cyclic Lorentzian metric. As in the Riemannian case, in terms of homogeneous structures, such metrics can be considered as different as possible from bi-invariant metrics. We show that several results concerning cyclic Riemannian metrics do not extend to their Lorentzian analogues, and obtain a full classification of three- and four-dimensional cyclic Lorentzian metrics.
Cite
@article{arxiv.1504.07801,
title = {Cyclic Lorentzian Lie Groups},
author = {M. Castrillon Lopez and G. Calvaruso},
journal= {arXiv preprint arXiv:1504.07801},
year = {2015}
}