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

O. Brahic,J. P. Dufour

msra(2004)

引用 23|浏览3
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摘要
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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关键词
symplectic geometry,dynamic system,linear approximation,poisson structure,lie algebra
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