Higher order jet prolongations type gauge natural bundles over vector bundles

Kurek, Jan

Mikulski, Włodzimierz M.

Let

$r ≥ 3$ and

$m ≥ 2$ be natural numbers and

$E$ be a vector bundle with

$m$ -dimensional basis. We find all gauge natural bundles "similar" to the

$r$ -jet prolongation bundle

$J^r$

$E$ of

$E$ . We also find all gauge natural bundles "similar" to the vector

$r$ -tangent bundle

$(J^r_{fl}(E,R)_0)^*$ of

$E$ .