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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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