. D G ] 2 3 Fe b 19 99 Remarks on Nambu - Poisson , and Nambu - Jacobi brackets
نویسندگان
چکیده
We show that Nambu-Poisson and Nambu-Jacobi brackets can be defined inductively: an n-bracket, n > 2, is Nambu-Poisson (resp. Nambu-Jacobi) if and only if fixing an argument we get an (n − 1)-Nambu-Poisson (resp. Nambu-Jacobi) bracket. As a by-product we get relatively simple proofs of Darboux-type theorems for these structures.
منابع مشابه
ar X iv : m at h / 99 02 12 8 v 2 [ m at h . D G ] 7 M ar 1 99 9 Remarks on Nambu - Poisson , and Nambu - Jacobi brackets
We show that Nambu-Poisson and Nambu-Jacobi brackets can be defined inductively: an n-bracket, n > 2, is Nambu-Poisson (resp. Nambu-Jacobi) if and only if fixing an argument we get an (n − 1)-Nambu-Poisson (resp. Nambu-Jacobi) bracket. As a by-product we get relatively simple proofs of Darboux-type theorems for these structures.
متن کاملm at h . D G ] 1 5 A pr 1 99 9 Remarks on Nambu - Poisson , and Nambu - Jacobi brackets
We show that Nambu-Poisson and Nambu-Jacobi brackets can be defined inductively: an n-bracket, n > 2, is Nambu-Poisson (resp. Nambu-Jacobi) if and only if fixing an argument we get an (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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