Gauge natural constructions on higher order principal prolongations

Miroslav Doupovec, and Włodzimierz M. Mikulski. "Gauge natural constructions on higher order principal prolongations." Annales Polonici Mathematici 92.1 (2007): 87-97. <http://eudml.org/doc/281001>.

@article{MiroslavDoupovec2007,
abstract = {Let $W^r_mP$ be a principal prolongation of a principal bundle P → M. We classify all gauge natural operators transforming principal connections on P → M and rth order linear connections on M into general connections on $W^r_mP → M$. We also describe all geometric constructions of classical linear connections on $W^r_mP$ from principal connections on P → M and rth order linear connections on M.},
author = {Miroslav Doupovec, Włodzimierz M. Mikulski},
journal = {Annales Polonici Mathematici},
keywords = {connections; principal prolongation; gauge bundle functor},
language = {eng},
number = {1},
pages = {87-97},
title = {Gauge natural constructions on higher order principal prolongations},
url = {http://eudml.org/doc/281001},
volume = {92},
year = {2007},
}

TY - JOUR
AU - Miroslav Doupovec
AU - Włodzimierz M. Mikulski
TI - Gauge natural constructions on higher order principal prolongations
JO - Annales Polonici Mathematici
PY - 2007
VL - 92
IS - 1
SP - 87
EP - 97
AB - Let $W^r_mP$ be a principal prolongation of a principal bundle P → M. We classify all gauge natural operators transforming principal connections on P → M and rth order linear connections on M into general connections on $W^r_mP → M$. We also describe all geometric constructions of classical linear connections on $W^r_mP$ from principal connections on P → M and rth order linear connections on M.
LA - eng
KW - connections; principal prolongation; gauge bundle functor
UR - http://eudml.org/doc/281001
ER -