Fundamental vector fields on associated fiber bundles

Ivan Kolář

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Displaying similar documents to “Fundamental vector fields on associated fiber bundles”

On the Lie algebra of vertical prolongation operators

Josef Janyška (1982)

Czechoslovak Mathematical Journal

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Fundamental vector fields on type fibres of jet prolongations of tensor bundles

Demeter Krupka (1979)

Mathematica Slovaca

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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.