Open AccessConnections from trivializations
Author(s) -
Jan Kurek,
Włodzimierz M. Mikulski
Publication year - 2016
Publication title -
annales universitatis mariae curie-skłodowska. 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.