Gauge natural prolongation of connections

Miroslav Doupovec, and Włodzimierz M. Mikulski. "Gauge natural prolongation of connections." Annales Polonici Mathematici 95.1 (2009): 37-50. <http://eudml.org/doc/280335>.

@article{MiroslavDoupovec2009,
abstract = {The main result is the classification of all gauge bundle functors H on the category $ℬ_m(G)$ which admit gauge natural operators transforming principal connections on P → M into general connections on HP → M. We also describe all gauge natural operators of this type. Similar problems are solved for the prolongation of principal connections to HP → P. A special attention is paid to linear connections.},
author = {Miroslav Doupovec, Włodzimierz M. Mikulski},
journal = {Annales Polonici Mathematici},
keywords = {general connection; principal connection; gauge bundle functor},
language = {eng},
number = {1},
pages = {37-50},
title = {Gauge natural prolongation of connections},
url = {http://eudml.org/doc/280335},
volume = {95},
year = {2009},
}

TY - JOUR
AU - Miroslav Doupovec
AU - Włodzimierz M. Mikulski
TI - Gauge natural prolongation of connections
JO - Annales Polonici Mathematici
PY - 2009
VL - 95
IS - 1
SP - 37
EP - 50
AB - The main result is the classification of all gauge bundle functors H on the category $ℬ_m(G)$ which admit gauge natural operators transforming principal connections on P → M into general connections on HP → M. We also describe all gauge natural operators of this type. Similar problems are solved for the prolongation of principal connections to HP → P. A special attention is paid to linear connections.
LA - eng
KW - general connection; principal connection; gauge bundle functor
UR - http://eudml.org/doc/280335
ER -