On solvable compact Clifford-Klein forms

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 h...

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2017-04, Vol.145 (4), p.1819-1832
Main Authors: BOCHEŃSKI, MACIEJ, TRALLE, ALEKSY
Format: Article
Language:English
Subjects:
G. TOPOLOGY
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Summary: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13370