30 citations · 126 across the 41 of their papers we have counts for
44 papers
On non-positive Weyl connection on Lie groups
Tomasz Dudek, Aleksy Tralle
The paper contributes to the problem of finding non-positive invariant Weyl connections on Lie groups. The main result is that in the case of completely solvable 3-dimensional Lie…
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…
Some topics in Sasakian geometry, a survey
Aleksy Tralle
In the seminal book of Boyer and Galicki "Sasakian Geometry" the authors formulated a research program of studying topological properties and answering questions about the existenc…
Standard compact Clifford-Klein forms and Lie algebra decompositions
Maciej Bochenski, Aleksy Tralle
We find relations between real root decompositions of triples of Lie algebras corresponding to standard compact Clifford-Klein forms, under the assumption that these triples are no…
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…
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…