Reduction of Nambu-Poisson manifolds by regular distributions

Abstract

The version of Marsden-Ratiu reduction theorem for Nambu-Poisson manifolds by a regular distribution has been studied by Ib$\acute{\text{a}}\tilde{\text{n}}$ez et al. In this paper we show that the reduction is always ensured unless the distribution is zero. Next we extend the more general Falceto-Zambon Poisson reduction theorem for Nambu-Poisson manifolds. Finally, we define gauge transformations of Nambu-Poisson structures and show that these transformations commute with the reduction procedure.

accepted version

References in corpus (2)

• On higher analogues of Courant algebroids
• An extension of the Marsden-Ratiu reduction for Poisson manifolds

Cited by in corpus (1)

• Gauge transformations of Jacobi structures and contact groupoids