Cohomogeneity one actions on Minkowski spaces
Differential Geometry
2014-10-08 v1
Abstract
We study isometric cohomogeneity one actions on the (n+1)-dimensional Minkowski space up to orbit-equivalence. We give examples of isometric cohomogeneity one actions on the Minkowski space whose orbit spaces are non-Hausdorff. We show that there exist isometric cohomogeneity one actions on the Minkowski space which are orbit-equivalent on the complement of an n-dimensional degenerate subspace and not orbit-equivalent on this degenerate subspace. We classify isometric cohomogeneity one actions on 2- and 3-dimensional Minkowski spaces up to orbit-equivalence.
Keywords
Cite
@article{arxiv.1410.1700,
title = {Cohomogeneity one actions on Minkowski spaces},
author = {Jurgen Berndt and Jose Carlos Diaz-Ramos and Mohammad Javad Vanaei},
journal= {arXiv preprint arXiv:1410.1700},
year = {2014}
}