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arXiv · 1501.07200

Proper actions on strongly regular homogeneous spaces

Maciej Bochenski
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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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Maciej Bochenski. 2015-01-28. Proper actions on strongly regular homogeneous spaces. https://arxiv.org/abs/1501.07200

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