XXVII Workshop on Geometric Methods in Physics 29.06-05.07.2008

Jan Vondra

Classification of principal connections naturally induced on $W^rPE$

We consider a vector bundle $E\to M$ and the principal bundle $PE$ of frames of $E$. Let $K$ be a principal connection on $PE$ 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 $\Lambda$.