Singular reduction of Nambu-Poisson manifolds

Article Type

Research Article

Publication Title

International Journal of Geometric Methods in Modern Physics

Abstract

The version of Marsden-Ratiu Poisson reduction theorem for Nambu-Poisson manifolds by a regular foliation have been studied by Ibáñez et al. In this paper, we show that this reduction procedure can be extended to the singular case. Under a suitable notion of Hamiltonian flow on the reduced space, we show that a set of Hamiltonians on a Nambu-Poisson manifold can also be reduced.

DOI

10.1142/S0219887817501286

Publication Date

9-1-2017

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