Nambu-Poisson manifolds and associated n-ary Lie algebroids Article uri icon

abstract

  • We introduce an n-ary Lie algebroid canonically associated with a Nambu-Poisson manifold. We also prove that every Nambu-Poisson bracket defined on functions is induced by some differential operator on the exterior algebra, and characterizes such operators. Some physical examples are presented.

publication date

  • 2001-01-01