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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
##### Keywords:
natural bundle; natural operator; cotangent bundle
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