Gauge natural prolongation of connections
Volume 95 / 2009
Annales Polonici Mathematici 95 (2009), 37-50
MSC: 58A05, 58A20.
DOI: 10.4064/ap95-1-3
Abstract
The main result is the classification of all gauge bundle functors $H$ on the category ${\cal P}{\cal B}_m(G)$ which admit gauge natural operators transforming principal connections on $P\to M$ into general connections on $HP\to M$. We also describe all gauge natural operators of this type. Similar problems are solved for the prolongation of principal connections to $HP\to P$. A special attention is paid to linear connections.
