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arXiv · 1407.7565

A restriction on proper actions on homogeneous spaces of reductive type

Maciej Bochenski·Marek Ogryzek
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Abstract

Let L be a reductive subgroup of a reductive Lie group G. Let G/H be a homogeneous space of reductive type. We provide a necessary condition for the properness of the action of L on G/H. As an application we give examples of spaces that do not admit standard compact Clifford-Klein forms.

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Maciej Bochenski, Marek Ogryzek. 2014-07-28. A restriction on proper actions on homogeneous spaces of reductive type. https://doi.org/10.1007/s10711-015-0063-y

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