12 citations · 26 across the 7 of their papers we have counts for
4 papers · 1 filter
Cartan projections of some non-reductive subgroups and proper actions on homogeneous spaces
Yosuke Morita
Kobayashi [Duke Math. J. (1992)] gave a necessary condition for the existence of compact Clifford-Klein forms in terms of Cartan projections and non-compact dimensions of reductive…
Semisimple symmetric spaces that do not model any compact manifold
Yosuke Morita
In a previous paper, we obtained a cohomological obstruction to the existence of compact manifolds locally modelled on a homogeneous space. In this paper, we give a classification…
Homogeneous spaces of nonreductive type locally modelling no compact manifold
Yosuke Morita
We give necessary conditions for the existence of a compact manifold locally modelled on a given homogeneous space, which generalize some earlier results, in terms of relative Lie…
A topological necessary condition for the existence of compact Clifford-Klein forms
Yosuke Morita
We provide a necessary condition for the existence of a compact Clifford-Klein form of a given homogeneous space of reductive type. The key to the proof is to combine a result of K…