9 citations · 30 across the 16 of their papers we have counts for
11 papers · 1 filter
A solution of the problem of standard compact Clifford-Klein forms
Maciej Bochenski, Aleksy Tralle
We solve the long standing problem of classification of standard compact Clifford-Klein forms of homogeneous spaces of simple non-compact real Lie groups under the extra assumption…
Stretched non-positive Weyl connections on solvable Lie groups
Maciej Bochenski, Piotr Jastrzebski, Aleksy Tralle
We determine the structure of solvable Lie groups endowed with invariant stretched non-positive Weyl connections and find classes of solvable Lie groups admitting and not admitting…
On semisimple standard compact Clifford-Klein forms
Maciej Bocheński
In this paper we give the classification of standard compact Clifford-Klein forms corresponding to triples (g,h,l) such that g = h+l and g is a sum of two absolutely simple ideals.…
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…
On the Hirzebruch-Kobayashi-Ono proportionality principle and the non-existence of compact solvable Clifford-Klein forms of certain homogeneous spaces
Maciej Bochenski, Aleksy Tralle
This article continues a line of research aimed at solving an important problem of T. Kobayashi of the existence of compact Clifford-Klein forms of reductive homogeneous spaces. We…
On a classification of fat bundles over compact homogeneous spaces
Maciej Bochenski, Anna Szczepkowska, Aleksy Tralle +1
This article deals with fat bundles. Berard-Bergery classified all homogeneous bundles of that type. We ask a question of a possibility to generalize his description in the case of…
On solvable compact Clifford-Klein forms
Maciej Bochenski, Aleksy Tralle
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 no…
New constructions of symplectically fat fiber bundles
Maciej Bochenski, Anna Szczepkowska, Aleksy Tralle +1
This work is devoted to new constructions of symplectically fat fiber bundles. The latter are constructed in two ways: using the Kirwan map and expressing the fatness condition in…
Proper actions on strongly regular homogeneous spaces
Maciej Bochenski
Let G/H be a strongly regular homogeneous space such that H is a Lie group of inner type. We show that G/H admits a proper action of a discrete non-virtually abelian subgroup of G…
Generalized symplectic symmetric spaces
Maciej Bochenski, Aleksy Tralle
Bielavsky introduced and investigated the class of symmetric symplectic spaces, that is, symmetric spaces endowed with a symplectic form invariant with respect to symmetries. Since…