On solvable compact Clifford-Klein forms

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.

This is a new version of a paper. We have changed the title and removed the incorrect statement in the main theorem

Cited by in corpus (2)

• Semisimple subalgebras in simple Lie algebras and a computational approach to the compact Clifford-Klein forms problem
• On locally homogeneous pseudo-Riemannian compact einstein manifolds