Semi-local invariants for non-resonnant Poisson structures on S1xRn
msra(2004)
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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Key words
symplectic geometry,dynamic system,linear approximation,poisson structure,lie algebra
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