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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
##### Keywords:
natural operators; vector fields; prolongation of the flow
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