1 citations · 1 across the 2 of their papers we have counts for
4 papers
On locally homogeneous pseudo-Riemannian compact einstein manifolds
Maciej Bochenski, Aleksy Tralle
We ask a general question: what are locally homogeneous compact pseudo-Riemannian Einstein manifolds? We show that any standard compact Clifford-Klein form of a simple non-compact…
Non-existence of standard compact Clifford-Klein forms of homogeneous spaces of exceptional Lie groups
Maciej Bochenski, Piotr Jastrzebski, Aleksy Tralle
We use a computer-aided approach to prove that there are no standard compact Clifford-Klein forms of homogeneous spaces of exceptional Lie groups. This yields further support for K…
Semisimple subalgebras in simple Lie algebras and a computational approach to the compact Clifford-Klein forms problem
Maciej Bocheński, Piotr Jastrzębski, Anna Szczepkowska +2
In this paper we develop algorithms of finding homogeneous spaces of semisimple non-compact Lie groups which do not admit compact Clifford-Klein forms. We propose a computer progra…
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…