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arXiv · 1607.03005

On a classification of fat bundles over compact homogeneous spaces

Maciej Bochenski·Anna Szczepkowska·Aleksy Tralle·Artur Woike
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Abstract

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.

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Maciej Bochenski, Anna Szczepkowska, Aleksy Tralle, Artur Woike. 2016-07-11. On a classification of fat bundles over compact homogeneous spaces. https://doi.org/10.1016/j.diffgeo.2016.07.007

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