Canonical vector valued 1-forms on higher order principal prolongations (Q2378848)

Given a principal \(G\)-bundle \(P\to M\), its \(r\)-th order gauge natural prolongation \(W^rP\) is defined as the space of all \(r\)-jets of local trivializations \(\mathbb R^m\times G\to P\). The main result of the paper is the classification of all canonical vector valued \(1\)-forms \(TW^rP\to V\), where \(V\) is a finite dimensional vector space over \(\mathbb R\).