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

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
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