The natural operators lifting projectable vector fields to some fiber product preserving bundles. (English) Zbl 1099.58003

Mikulski, W. M.

Ann. Pol. Math. 81, No. 3, 261-271 (2003).

Summary: Admissible fiber product preserving bundle functors \(F\) on \({\mathcal F}{\mathcal M}_m\) are defined. For every admissible fiber product preserving bundle functor \(F\) on \({\mathcal F}{\mathcal M}_m\) all natural operators \(B:T_{\text{proj}|{\mathcal F}{\mathcal M}_{m,n}}\to TF\) lifting projectable vector fields to \(F\) are classified.

MSC:

58A20

Jets in global analysis

Keywords:

natural bundles; bundle functors; Weil algebras; natural operators; jets