Natural operators between vector valued differential forms

Cap, Andreas

Displaying similar documents to “Natural operators between vector valued differential forms”

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.

All natural concomitants of vector valued differential forms

Kolář, Ivan, Michor, Peter W.

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Higher order valued reduction theorems for classical connections

Josef Janyška (2005)

Open Mathematics

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We generalize reduction theorems for classical connections to operators with values in k-th order natural bundles. Using the 2nd order valued reduction theorems we classify all (0,2)-tensor fields on the cotangent bundle of a manifold with a linear (non-symmetric) connection.

Natural operators on vector fields on the cotangent bundles of the bundles of $(k, r)$ -velocities

Tomáš, Jiří

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Displaying similar documents to “Natural operators between vector valued differential forms”

Liftings of 1-forms to some non product preserving bundles

All natural concomitants of vector valued differential forms

Higher order valued reduction theorems for classical connections

Natural operators on vector fields on the cotangent bundles of the bundles of ( k , r ) -velocities

Natural operators on vector fields on the cotangent bundles of the bundles of $(k, r)$ -velocities