The structure tensor and first order natural differential operators

Piotr Kobak

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Displaying similar documents to “The structure tensor and first order natural differential operators”

Prolongation of tangent valued forms to Weil bundles

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We prove that the so-called complete lifting of tangent valued forms from a manifold $M$ to an arbitrary Weil bundle over $M$ preserves the Frölicher-Nijenhuis bracket. We also deduce that the complete lifts of connections are torsion-free in the sense of M. Modugno and the second author.

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 liftings of $(0, 2)$ -tensor fields to the tangent bundle

Miroslav Doupovec (1994)

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We determine all first order natural operators transforming $(0, 2)$ –tensor fields on a manifold $M$ into $(0, 2)$ –tensor fields on $T M$ .

Displaying similar documents to “The structure tensor and first order natural differential operators”

Prolongation of tangent valued forms to Weil bundles

Higher order valued reduction theorems for classical connections

Natural liftings of ( 0 , 2 ) -tensor fields to the tangent bundle

Natural liftings of $(0, 2)$ -tensor fields to the tangent bundle