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arXiv · 1702.01626

Reduction of Nambu-Poisson manifolds by regular distributions

Apurba Das
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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.

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Apurba Das. 2018-01-14. Reduction of Nambu-Poisson manifolds by regular distributions. https://doi.org/10.1007/s11040-018-9264-6

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