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arXiv · 1507.01912

On solvable compact Clifford-Klein forms

Maciej Bochenski·Aleksy Tralle
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Abstract

In this article we prove that under certain assumptions, a reductive homogeneous space G/H does not admit a solvable compact Clifford-Klein form. This generalizes the well known non-existence theorem of Benoist for nilpotent Clifford-Klein forms. This generalization works for a particular class of homogeneous spaces determined by "very regular" embeddings of H into G.

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Maciej Bochenski, Aleksy Tralle. 2015-07-07. On solvable compact Clifford-Klein forms. https://doi.org/10.1090/proc/13370

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