The natural functions on the cotangent bundle of higher order vector tangent bundles over fibered manifolds
An earlier result from [\textit{W. M. Mikulski}, Arch. Math. Brno 31, No. 1, 1--7 (1995; Zbl 0837.53021)] is extended from manifolds to fibered manifolds. Namely, the authors determine all natural functions \(g:T^*(J^{(r,s, q)}(Y,\mathbf{R}^{1,1})_0)^*\to \text\textbf{R}\), for arbitrary fibered manifolds \(Y\) with \(m\)-dimensional base and \(n\)-dimensional fiber, for natural numbers \(r,s,q,m,n\) such that \(s\geq r\leq q\). Further, for natural numbers \(r,s,m,n\) with \(s\geq r\), all natural functions \(g:T^*(J^{(r,s)}(Y,\mathbf{R})_0)^*\to\text\textbf{R}\), are determined as well.
scientific article; zbMATH DE number 5127114