On solvable compact Clifford-Klein forms
Differential Geometry
2019-09-20 v4
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.
Cite
@article{arxiv.1507.01912,
title = {On solvable compact Clifford-Klein forms},
author = {Maciej Bochenski and Aleksy Tralle},
journal= {arXiv preprint arXiv:1507.01912},
year = {2019}
}
Comments
This is a new version of a paper. We have changed the title and removed the incorrect statement in the main theorem