Nonlinearizability of certain Poisson structures near a symplectic leaf

Abstract

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.

corrected typos

References in corpus (1)

• Normal forms of Poisson structures near a symplectic leaf