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On cotangent bundles of some natural bundles

Kolář, Ivan (1994)

Proceedings of the Winter School "Geometry and Physics"

The author studies relations between the following two types of natural operators: 1. Natural operators transforming vector fields on manifolds into vector fields on a natural bundle F ; 2. Natural operators transforming vector fields on manifolds into functions on the cotangent bundle of F . It is deduced that under certain assumptions on F , all natural operators of the second type can be constructed through those of the first one.

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