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arXiv · 1611.00672

Double Principal Bundles

Honglei Lang·Yanpeng Li·Zhangju Liu
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Abstract

We define double principal bundles (DPBs), for which the frame bundle of a double vector bundle, double Lie groups and double homogeneous spaces are basic examples. It is shown that a double vector bundle can be realized as the associated bundle of its frame bundle. Also dual structures, gauge transformations and connections in DPBs are investigated.

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Honglei Lang, Yanpeng Li, Zhangju Liu. 2016-11-02. Double Principal Bundles. https://doi.org/10.1016/j.geomphys.2021.104354

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