English

Cohomogeneity one actions on anti de Sitter spacetimes

Differential Geometry 2016-09-20 v1

Abstract

In this paper we classify, up to orbit equivalence, cohomogeneity one actions of connected closed Lie subgroups of U(1,n)U(1,n) on the (2n+1)(2n+1)-dimensional anti de Sitter spacetime AdS2n+1AdS^{2n+1}. We also give some new examples of nonproper cohomogeneity one actions on AdSn+1AdS^{n+1} and determine parabolic Lie subgroups of SO(2,n)SO(2,n) and their orbits in AdSn+1AdS^{n+1}

Keywords

Cite

@article{arxiv.1609.05644,
  title  = {Cohomogeneity one actions on anti de Sitter spacetimes},
  author = {J. C. Diaz-Ramos and S. M. B. Kashani and M. J. Vanaei},
  journal= {arXiv preprint arXiv:1609.05644},
  year   = {2016}
}