English

Nonlinearizability of certain Poisson structures near a symplectic leaf

Symplectic Geometry 2007-05-23 v3

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.

Keywords

Cite

@article{arxiv.math/0406611,
  title  = {Nonlinearizability of certain Poisson structures near a symplectic leaf},
  author = {Benjamin Lent Davis and Aissa Wade},
  journal= {arXiv preprint arXiv:math/0406611},
  year   = {2007}
}

Comments

corrected typos

R2 v1 2026-07-22T17:07:20.604Z