Connections from trivializations
Jan Kurek, Włodzimierz Mikulski (2016)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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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.