Displaying similar documents to “Natural operators on vector fields on the cotangent bundles of the bundles of ( k , r ) -velocities”

On cotangent bundles of some natural bundles

Kolář, Ivan

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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.

Liftings of 1-forms to some non product preserving bundles

Doupovec, Miroslav, Kurek, Jan

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Summary: The article is devoted to the question how to geometrically construct a 1-form on some non product preserving bundles by means of a 1-form on an original manifold M . First, we will deal with liftings of 1-forms to higher-order cotangent bundles. Then, we will be concerned with liftings of 1-forms to the bundles which arise as a composition of the cotangent bundle with the tangent or cotangent bundle.