English

Proper actions on strongly regular homogeneous spaces

Differential Geometry 2015-01-29 v1

Abstract

Let G/H be a strongly regular homogeneous space such that H is a Lie group of inner type. We show that G/H admits a proper action of a discrete non-virtually abelian subgroup of G if and only if G/H admits a proper action of a subgroup L of G locally isomorphic to SL(2,R). We classify all such spaces.

Keywords

Cite

@article{arxiv.1501.07200,
  title  = {Proper actions on strongly regular homogeneous spaces},
  author = {Maciej Bochenski},
  journal= {arXiv preprint arXiv:1501.07200},
  year   = {2015}
}
R2 v1 2026-06-22T08:15:07.172Z