On a classification of fat bundles over compact homogeneous spaces

被引：2

作者：

Bochenski, Maciej ^{[1
]}

Szczepkowska, Anna ^{[1
]}

Tralle, Aleksy ^{[1
]}

Woike, Artur ^{[1
]}

机构：

[1] Univ Warmia & Mazury, Dept Math & Comp Sci, Sloneczna 54, PL-10710 Olsztyn, Poland

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2016年 / 49卷

关键词：

Homogeneous space; Fat bundle; G-structure; Invariant connection;

D O I：

10.1016/j.difgeo.2016.07.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：131 / 141

页数：11

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