On a classification of fat bundles over compact homogeneous spaces

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• 作者：Maciej Bocheński ^{mabo@matman.uwm.edu.pl" class="auth_mail" title="E-mail the corresponding author} ; Anna Szczepkowska ^{anna.szczepkowska@matman.uwm.edu.pl" class="auth_mail" title="E-mail the corresponding author} ; Aleksy Tralle ; ^{tralle@matman.uwm.edu.pl" class="auth_mail" title="E-mail the corresponding author} ; Artur Woike ^{awoike@matman.uwm.edu.pl" class="auth_mail" title="E-mail the corresponding author}
• 关键词：53C10 ; 53C20 ; 53C30
• 刊名：Differential Geometry and its Applications
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：49
• 期：Complete
• 页码：131-141
• 全文大小：333 K

文摘

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.