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Prolongation of vector fields to jet bundles. (English) Zbl 0712.58007
Geometry and physics, Proc. 9th Winter Sch., Srní/Czech. 1989, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 22, 103-111 (1990).
[For the entire collection see Zbl 0699.00032.]
In this interesting paper the authors show that all natural operators transforming every projectable vector field on a fibered manifold Y into a vector field on its r-th prolongation \(J^ rY\) are the constant multiples of the flow operator. Then they deduce an analogous result for the natural operators transforming every vector field on a manifold M into a vector field on any bundle of contact elements over M.
Reviewer: W.Mozgawa

58A20 Jets in global analysis