We introduce the concept of an involution of iterated bundle functors. Then we study the problem of the existence of an involution for bundle functors defined on the category of fibered manifolds with m-dimensional bases and of fibered manifold morphisms covering local diffeomorphisms. We also apply our results to prolongation of connections.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm106-1-12,
author = {Miroslav Doupovec and W\l odzimierz M. Mikulski},
title = {On involutions of iterated bundle functors},
journal = {Colloquium Mathematicae},
volume = {106},
year = {2006},
pages = {135-145},
zbl = {1095.58001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm106-1-12}
}
Miroslav Doupovec; Włodzimierz M. Mikulski. On involutions of iterated bundle functors. Colloquium Mathematicae, Tome 106 (2006) pp. 135-145. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm106-1-12/