Let P be a principal fiber bundle with the basis M and with the structural group G. A trivialization of P is a section of P. It is proved that there exists only one gauge natural operator transforming trivializations of P into principal connections in P. All gauge natural operators transforming trivializations of P and torsion free classical linear connections on M into classical linear connections on P are completely described.
@article{bwmeta1.element.ojs-doi-10_17951_a_2016_70_2_83,
author = {Jan Kurek and W\l odzimierz Mikulski},
title = {Connections from trivializations},
journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
volume = {70},
year = {2016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2016_70_2_83}
}
Jan Kurek; Włodzimierz Mikulski. Connections from trivializations. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 70 (2016) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2016_70_2_83/
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