Nonlinearizability of certain Poisson structures near a symplectic leaf
classification
🧮 math.SG
keywords
poissonleafmanifoldnearsymplecticvorobjevapproximationcannot
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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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