Séminaire de Géométrie et Quantification
Double Principal Bundles
Résumé : 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 (joint work with Zhangju Liu and Yanpeng Li).