Gauge natural constructions on higher order principal prolongations
Volume 92 / 2007
Annales Polonici Mathematici 92 (2007), 87-97
MSC: 58A05, 58A20.
DOI: 10.4064/ap92-1-9
Abstract
Let $W^r_mP$ be a principal prolongation of a principal bundle $P\to M$. We classify all gauge natural operators transforming principal connections on $P\to M$ and $r$th order linear connections on $M$ into general connections on $W^r_mP\to M$. We also describe all geometric constructions of classical linear connections on $W^r_mP$ from principal connections on $P\to M$ and $r$th order linear connections on $M$.
