Abstract
The structure of Nambu-Poisson brackets is studied and we establish that any Nambu tensor is decomposable. We show that every Nambu-Poisson manifold admits a local foliation by canonical Nambu-Poisson manifolds. Finally, a cohomology for Nambu (Lie) algebras which is adapted to the study of formal deformations of Nambu structures is introduced.
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Gautheron, P. Some remarks concerning Nambu mechanics. Lett Math Phys 37, 103–116 (1996). https://doi.org/10.1007/BF00400143
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DOI: https://doi.org/10.1007/BF00400143