The main result is the classification of all gauge bundle functors H on the category which admit gauge natural operators transforming principal connections on P → M into general connections on HP → M. We also describe all gauge natural operators of this type. Similar problems are solved for the prolongation of principal connections to HP → P. A special attention is paid to linear connections.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-1-3,
author = {Miroslav Doupovec and W\l odzimierz M. Mikulski},
title = {Gauge natural prolongation of connections},
journal = {Annales Polonici Mathematici},
volume = {95},
year = {2009},
pages = {37-50},
zbl = {1161.58001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-1-3}
}
Miroslav Doupovec; Włodzimierz M. Mikulski. Gauge natural prolongation of connections. Annales Polonici Mathematici, Tome 95 (2009) pp. 37-50. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-1-3/