A remark on the linearization of nondegenerate Nambu structures of coorder 1

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Abstract

In this note we show that Nambu structures of coorder 1 can always be linearized if they admit a closed integrable differential form. In particular, we show that a unimodular Poisson structure whose isotropy Lie algebra at a singular point is sl (2, R), can always be linearized.

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Florian Zeiser (Thu,) studied this question.

synapsesocial.com/papers/68e5a818b6db64358754249a https://doi.org/https://doi.org/10.48550/arxiv.2408.16925

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