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

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:=S1x0 in S1xRn, 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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