The lifts of Lagrange and Hamilton equations to the extended vector bundles (Q1275789)

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scientific article; zbMATH DE number 1239797
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The lifts of Lagrange and Hamilton equations to the extended vector bundles
scientific article; zbMATH DE number 1239797

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    The lifts of Lagrange and Hamilton equations to the extended vector bundles (English)
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    23 March 1999
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    The problem of higher order Lagrangian equations and related Hamiltonian formalism is well known. The author discusses lifting Hamiltonian vector fields and Lagrangian equations to an extended vector bundle, an object which is not defined in the paper, seemingly, it is the iterated vector bundle for a given linear bundle. Unfortunately, the paper is not self-consistent and the terminology used is not common but based on the author's thesis which is not widely known. It makes reading rather hard.
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    Lagrangian equations
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    Hamilton equations
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    lift
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    extended vector bundle metrics
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    Hamiltonian vector fields
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    linear bundle
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