Double Principal Bundles
Differential Geometry
2021-09-07 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1611.00672,
title = {Double Principal Bundles},
author = {Honglei Lang and Yanpeng Li and Zhangju Liu},
journal= {arXiv preprint arXiv:1611.00672},
year = {2021}
}
Comments
20 pages. This is a replacement of arXiv:1611.00672 with the same title. We add Proposition 2.11 and clarify some notations