Double principal bundles
Double principal bundles
复制标题
双主束
DOI：
10.1016/j.geomphys.2021.104354
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发表时间：
2021
影响因子：
1.5
通讯作者：
Zhangju Liu
中科院分区：
文献类型：
--
作者：
Honglei Lang;Yanpeng Li;Zhangju Liu
我们定义了双主丛（DPB），其中双向量丛的框架丛，双李群和双齐性空间是基本的例子。证明了双向量丛可以实现为其框架丛的伴随丛。还研究了DPB中的对偶结构、规范变换和连接。
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.