Nonlinearizability of certain Poisson structures near a symplectic leaf

Details Nonlinearizability of certain Poisson structures near a symplectic leaf Nonlinearizability of certain Poisson structures near a symplectic leaf

2004-06-29

arxiv.org/abs/math/0406611v3

Mathematics

Symplectic Geometry

corrected typos

Scientific paper

We give an intrinsic proof that Vorobjev's first approximation of a Poisson
manifold near a symplectic leaf is a Poisson manifold. We also show that Conn's
linearization results cannot be extended in Vorobjev's setting.

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