Prolongation of tangent valued forms to Weil bundles

Antonella Cabras; Ivan Kolář

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Displaying similar documents to “Prolongation of tangent valued forms to Weil bundles”

Natural operations on higher order tangent bundles.

Ivan Kolár (1996)

Extracta Mathematicae

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We present a survey of some recent results about natural operations on the r-th order tangent bundle and similar objects.

Natural affinors on time-dependent Weil bundles

Miroslav Doupovec, Ivan Kolář (1991)

Archivum Mathematicum

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Prolongation of projectable tangent valued forms

Antonella Cabras, Ivan Kolář (2002)

Archivum Mathematicum

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First we deduce some general properties of product preserving bundle functors on the category of fibered manifolds. Then we study the prolongation of projectable tangent valued forms with respect to these functors and describe the complete lift of the Frölicher-Nijenhuis bracket. We also present the coordinate formula for composition of semiholonomic jets.