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Semi-local invariants for non-resonnant Poisson structures on S1xRn

O. Brahic·J. P. Dufour
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Abstract

The purpose of this paper is to give a semi-local study along generic closed curves of zeros: we formally classify Poisson structures defined in a neighborhood of Gamma:=S^1x{0} in S^1xR^n, that vanish on Gamma, and whose linear approximation at one point m of Gamma is isomorphic to the dual of a non-resonant Lie algebra.

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O. Brahic, J. P. Dufour. 2004-12-13. Semi-local invariants for non-resonnant Poisson structures on S1xRn. https://arxiv.org/abs/math/0412238

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