arXiv subjects

Artur Woike

Publications and source records attributed to Artur Woike.

4 recordsLinked to original sources

arXiv2018

Semisimple subalgebras in simple Lie algebras and a computational approach to the compact Clifford-Klein forms problem

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 program which checks if the given homogeneous space has a non-vanishing cohomological obstruction (found by Tholozan) to compact Clifford-Klein forms. By a numerical experiment we show that there is a large class of homogeneous spaces satisfying Tholozan's condition.

math.RT↗

arXiv2016

On a classification of fat bundles over compact homogeneous spaces

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 arbitrary G-structures over homogeneous spaces. We obtain necessary conditions for the existence of such bundles. These conditions yield a kind of classification of fat bundles associated with G-structures over compact homogeneous spaces provided that the connection in a G-structure is canonical.

math.DG↗

arXiv2015

On symplectically fat twistor bundles

This paper deals with the question when are twistor bundles over homogeneous spaces symplectically fat? It shows that twistor bundles over even dimensional Grassmannians of maximal rank have this property.

math-ph↗

arXiv2015

New constructions of symplectically fat fiber bundles

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 terms of the isotropy representation related to the G-structure over some homogeneous spaces.

math.DG↗