Leibniz algebroid associated with a Nambu-Poisson structure

Details Leibniz algebroid associated with a Nambu-Poisson structure Leibniz algebroid associated with a Nambu-Poisson structure

1999-06-30

arxiv.org/abs/math-ph/9906027v1

Physics

Mathematical Physics

Scientific paper

10.1088/0305-4470/32/46/310

The notion of Leibniz algebroid is introduced, and it is shown that each
Nambu-Poisson manifold has associated a canonical Leibniz algebroid. This fact
permits to define the modular class of a Nambu-Poisson manifold as an
appropiate cohomology class, extending the well-known modular class of Poisson
manifolds.

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