Remarks on Nambu-Poisson and Nambu-Jacobi brackets
Differential Geometry
2014-11-18 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/9902128,
title = {Remarks on Nambu-Poisson and Nambu-Jacobi brackets},
author = {Janusz Grabowski and Giuseppe Marmo},
journal= {arXiv preprint arXiv:math/9902128},
year = {2014}
}
Comments
Latex, 13 pages