Green formula and Legendre transformation (Q702080)

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scientific article; zbMATH DE number 2128502
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Green formula and Legendre transformation
scientific article; zbMATH DE number 2128502

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    Green formula and Legendre transformation (English)
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    17 January 2005
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    In this paper it is given a suitable geometrical interpretation of the cohomological Green formula in the framework of ordinary Lagrangians of arbitrary order. The particular case of higher-order mechanics is considered in detail. Finally, the Hamilton canonical equations are derived from this point of view.
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    Green formula
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    Legendre transformation
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    Cartan distribution
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    differential operator
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    variational problem
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    Hamilton formalism
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