9 citations · 30 across the 16 of their papers we have counts for
7 papers · 1 filter
Exotic proper actions on homogeneous spaces via convex cocompact representations
Maciej Bochenski, Yosuke Morita
We construct a series of homogeneous spaces G/H of reductive type which admit proper actions of discrete subgroups of G isomorphic to cocompact lattices of O(n,1) (n=2,3,4) but do…
Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces
Maciej Bochenski, Willem A. de Graaf, Piotr Jastrzebski +1
We develop algorithms and computer programs which verify criteria of properness of discrete group actions on semisimple homogeneous spaces. We apply these algorithms to find new ex…
Homogeneous spaces of real simple Lie groups with proper actions of non virtually abelian discrete subgroups: a calculational approach
Maciej Bochenski, Piotr Jastrzebski, Aleksy Tralle
Let G be a simple non-compact linear connected Lie group and H be a closed non-compact semisimple subgroup. We are interested in finding classes of homogeneous spaces G/H admitting…
Totally non cohomologous to zero fibrations and amenable Clifford-Klein forms of 3-symmetric spaces
Maciej Bochenski, Aleksy Tralle
We prove that 3-symmetric spaces of simple linear real Lie groups do not admit amenable compact Clifford-Klein forms. Our basic tool are totally non cohomologous to zero fibrations…
A restriction on proper actions on homogeneous spaces of reductive type
Maciej Bochenski, Marek Ogryzek
Let L be a reductive subgroup of a reductive Lie group G. Let G/H be a homogeneous space of reductive type. We provide a necessary condition for the properness of the action of L o…
Proper SL(2,R)-actions on homogeneous spaces
Maciej Bochenski, Piotr Jastrzebski, Takayuki Okuda +1
We study the existence problem of proper actions of SL(2,R) on homogeneous spaces G/H of reductive type. Based on Kobayashi's properness criterion [Math. Ann. (1989)], we show that…
Clifford-Klein forms and a-hyperbolic rank
Maciej Bochenski, Aleksy Tralle
The porpose of this article is to introduce and investigate properties of a tool (the a-hyperbolic rank) which enables us to obtain new examples of homogeneous spaces G/H which adm…