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@article{866058,
author = {Janyška, Josef and Vondra, Jan},
article_number = {3},
keywords = {natural bundle; gauge-natural bundle; natural operator; principal bundle; principal connection},
language = {eng},
issn = {0034-4877},
journal = {REPORTS ON MATHEMATICAL PHYSICS},
title = {Natural principal connections on the principal gauge prolongation of a principal bundle},
url = {http://www.elsevier.com/wps/find/journaldescription.cws_home/416/description#description},
volume = {64},
year = {2009}
}
TY - JOUR
ID - 866058
AU - Janyška, Josef - Vondra, Jan
PY - 2009
TI - Natural principal connections on the principal gauge prolongation of a principal bundle
JF - REPORTS ON MATHEMATICAL PHYSICS
VL - 64
IS - 3
SP - 395-415
EP - 395-415
PB - Elsevier SAS
SN - 00344877
KW - natural bundle
KW - gauge-natural bundle
KW - natural operator
KW - principal bundle
KW - principal connection
UR - http://www.elsevier.com/wps/find/journaldescription.cws_home/416/description#description
N2 - Let $\Gamma$ be a principal connection on a principal bundle $\pi:P\to M$ and let $\Lambda$ be a linear connection on $M$. We describe all possible natural prolongations of $\Gam$, with respect to $\Lam$, to principal connections on the principal gauge prolongation $W^rP$ of $P$. For $r=1,2$ we give the full classification, for $r\ge 3$ we give a base of natural operators which generates all possible natural principal connections on $W^rP$.
ER -
JANYŠKA, Josef a Jan VONDRA. Natural principal connections on the principal gauge prolongation of a principal bundle. \textit{REPORTS ON MATHEMATICAL PHYSICS}. Elsevier SAS, 2009, roč.~64, č.~3, s.~395-415. ISSN~0034-4877.
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