Proper actions on strongly regular homogeneous spaces

2015/01/28 by Maciej Bochenski, Bochenski, Maciej
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1501.07200

arxiv created 2015/01/28 · arxiv updated 2015/01/29

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.

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