Differential-geometric Poisson brackets on a lattice (Q923458)

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scientific article; zbMATH DE number 4169719
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Differential-geometric Poisson brackets on a lattice
scientific article; zbMATH DE number 4169719

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    Differential-geometric Poisson brackets on a lattice (English)
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    1989
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    The notion of differential geometric Poisson brackets was introduced by \textit{S. P. Novikov} and the author in connection with the study of the Poisson brackets of hydrodynamical type and their generalizations [Sov. Math., Dokl. 30, 651-654 (1984); translation from Dokl. Akad. Nauk SSSR 279, No.2, 294-297 (1984; Zbl 0591.58012)]. In the present paper, the author develops a discrete version of such a concept.
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    Poisson brackets
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