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Natural liftings of vector fields to tangent bundles of bundles of 1- forms. (English) Zbl 0743.53008
The author determines all natural operators transforming vector fields on a manifold \(M\) into vector fields on \(T(T^*M)\), \(\dim M\geq 2\). All of them are generated by five simple constructions which are based on the prolongation of the flow of a vector field and on the generalized Liouville vector field of an arbitrary vector bundle.
Reviewer: I.Kolář (Brno)

MSC:
53A55 Differential invariants (local theory), geometric objects
58A20 Jets in global analysis
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