Connections from trivializations | Zendy

Jan Kurek | Zendy; Włodzimierz M. Mikulski | Zendy

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Connections from trivializations

Author(s) -

Jan Kurek,

Włodzimierz M. Mikulski

Publication year - 2016

Publication title -

annales universitatis mariae curie-sklodowska sectio a – mathematica

Language(s) - English

Resource type - Journals

eISSN - 2083-7402

pISSN - 0365-1029

DOI - 10.17951/a.2016.70.2.83

Subject(s) - mathematics , torsion (gastropod) , section (typography) , principal (computer security) , fiber bundle , operator (biology) , pure mathematics , bundle , physics , mathematical physics , mathematical analysis , computer science , anatomy , chemistry , medicine , biochemistry , materials science , repressor , transcription factor , gene , composite material , operating system

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.

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