# Masaryk University

Publication details

# Classification of principal connections on $W^rPE$

Authors 2008 Article in Proceedings Geometric methods in physics General mathematics natural bundle; gauge-natural bundle; natural operator; pricipal bundle; principal connection We assume a vector bundle $E\to M$ and the principal bundle $PE$ of frames of $E$. Let $K$ be a general linear connection on $E$ and let $\Lambda$ be a linear connection on $M$. We classify all principal connections on $W^rPE= P^rM\times_M J^rPE$ naturally given by $K$ and $\Lambda$.