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

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

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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.

Linearisation of second-order differential equations.

Eduardo Martínez (1996)

Extracta Mathematicae

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Given a second order differential equation on a manifold we find necessary and sufficient conditions for the existence of a coordinate system in which the system is linear. The main tool to be used is a linear connection defined by the system of differential equations.