Connections from trivializations
Jan Kurek; Włodzimierz Mikulski
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2016)
- Volume: 70, Issue: 2
- ISSN: 0365-1029
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topJan Kurek, and Włodzimierz Mikulski. "Connections from trivializations." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 70.2 (2016): null. <http://eudml.org/doc/289844>.
@article{JanKurek2016,
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.},
author = {Jan Kurek, Włodzimierz Mikulski},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Gauge natural bundle; gauge natural operator; principal connection},
language = {eng},
number = {2},
pages = {null},
title = {Connections from trivializations},
url = {http://eudml.org/doc/289844},
volume = {70},
year = {2016},
}
TY - JOUR
AU - Jan Kurek
AU - Włodzimierz Mikulski
TI - Connections from trivializations
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2016
VL - 70
IS - 2
SP - null
AB - 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.
LA - eng
KW - Gauge natural bundle; gauge natural operator; principal connection
UR - http://eudml.org/doc/289844
ER -
References
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- Kolar, I., Michor, P. W., Slovak, J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993.
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