Cohomogeneity one actions on Minkowski spaces

2014/10/07 by Berndt, Jurgen, Diaz-Ramos, Jose Carlos, Vanaei, Mohammad Javad · 1 citation
#53C50 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1410.1700

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.

Cited by

• Maximally Symmetric Boost-Invariant Solutions of the Boltzmann Equation in Foliated Geometries

Related

• Classification of cohomogeneity-one actions on symmetric spaces of noncompact type
• Cohomogeneity one actions on symmetric spaces of noncompact type
• Cohomogeneity one actions on symmetric spaces of noncompact type and higher rank
• Cohomogeneity one actions on unit spheres
• On Cohomogeneity One Linear Actions On Pseudo-euclidean Space\n \ℝ^p,q