Reduction of Nambu-Poisson Manifolds by Regular Distributions
Mathematical Physics Analysis and Geometry
The version of Marsden-Ratiu reduction theorem for Nambu-Poisson manifolds by a regular distribution has been studied by Ibáñez 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.
Das, Apurba, "Reduction of Nambu-Poisson Manifolds by Regular Distributions" (2018). Journal Articles. 1458.