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Remarks on Nambu-Poisson and Nambu-Jacobi brackets

Janusz Grabowski·Giuseppe Marmo
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Abstract

It is shown that Nambu-Poisson and Nambu-Jacobi brackets can be defined inductively: a n-bracket, n>2, is Nambu-Poisson (resp. Nambu-Jacobi) if and only if fixing an argument we get a (n-1)-Nambu-Poisson (resp. Nambu-Jacobi) bracket. As a by-product we get relatively simple proofs of Darboux-type theorems for these structures.

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Janusz Grabowski, Giuseppe Marmo. 1999-04-15. Remarks on Nambu-Poisson and Nambu-Jacobi brackets. https://doi.org/10.1088/0305-4470%2F32%2F23%2F304

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