3 papers
math.DG2026
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…
math.DG2025
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…
math.GR2024
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…