On a classification of fat bundles over compact homogeneous spaces

This article deals with fat bundles. Bérard-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...

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Bibliographic Details
Published in:Differential geometry and its applications 2016-12, Vol.49, p.131-141
Main Authors: Bocheński, Maciej, Szczepkowska, Anna, Tralle, Aleksy, Woike, Artur
Format: Article
Language:English
Subjects:
Fat bundle
G-structure
Homogeneous space
Invariant connection
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Summary:This article deals with fat bundles. Bérard-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.
ISSN:0926-2245
1872-6984
DOI:10.1016/j.difgeo.2016.07.007