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The notion of Leibniz algebroid is introduced, and it is shown that eachNambu-Poisson manifold has associated a canonical Leibniz algebroid. This factpermits to define the modular class of a Nambu-Poisson manifold as anappropiate cohomology class, extending the well-known modular class of Poissonmanifolds

Leibniz algebroid associated with a Nambu-Poisson structure