# Masaryk University

Publication details

# Natural principal connections on the principal gauge prolongation of a principal bundle

Title in English Natural principal connections on the principal gauge prolongation of a principal bundle 2009 Article in Periodical REPORTS ON MATHEMATICAL PHYSICS http://www.elsevier.com/wps/find/journaldescription.cws_home/416/description#description General mathematics natural bundle; gauge-natural bundle; natural operator; principal bundle; principal connection 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 $W^rP$.