Cohomogeneity one actions on Minkowski spaces

Jurgen Berndt, Jose Carlos Diaz-Ramos, Mohammad Javad Vanaei

Published 2014-10-07Version 1

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.