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Liftings of vector fields to \(1\)-forms on the \(r\)-jet prolongation of the cotangent bundle. (English) Zbl 1090.58005
The author determines all natural operators transforming vector fields on a manifold \(M\) into one-forms on the \(r\)-jet prolongation of the cotangent bundle of \(M\). A similar problem with manifolds replaced by fibered manifolds is also discussed.

MSC:
58A20 Jets in global analysis
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