Connections from trivializations

Jan Kurek, Włodzimierz Mikulski

Abstract


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.

Keywords


Gauge natural bundle; gauge natural operator; principal connection

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References


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DOI: http://dx.doi.org/10.17951/a.2016.70.2.83
Data publikacji: 2016-12-24 22:42:02
Data złożenia artykułu: 2016-12-23 21:54:30

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Copyright (c) 2016 Jan Kurek, Włodzimierz Mikulski