Leibniz algebroid associated with a Nambu-Poisson structure
Mathematical Physics
2009-10-31 v1 math.MP
Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.math-ph/9906027,
title = {Leibniz algebroid associated with a Nambu-Poisson structure},
author = {R. Ibanez and M. de Leon and J. C. Marrero and E. Padron},
journal= {arXiv preprint arXiv:math-ph/9906027},
year = {2009}
}