On solvable compact Clifford-Klein forms
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- by Maciej Bocheński and Aleksy Tralle PDF
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Erratum: Proc. Amer. Math. Soc. 148 (2020), 2743-2744.
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 $G$.References
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Additional Information
- Maciej Bocheński
- Affiliation: Department of Mathematics and Computer Science, University of Warmia and Mazury, Słoneczna 54, 10-710, Olsztyn, Poland
- MR Author ID: 1069305
- Email: mabo@matman.uwm.edu.pl
- Aleksy Tralle
- Affiliation: Department of Mathematics and Computer Science, University of Warmia and Mazury, Słoneczna 54, 10-710, Olsztyn, Poland
- MR Author ID: 199440
- Email: tralle@matman.uwm.edu.pl
- Received by editor(s): February 8, 2016
- Received by editor(s) in revised form: June 22, 2016
- Published electronically: October 26, 2016
- Communicated by: Michael Wolf
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 1819-1832
- MSC (2010): Primary 57S30, 22F30, 22E40, 22E46
- DOI: https://doi.org/10.1090/proc/13370
- MathSciNet review: 3601571