English

Normal forms of Poisson structures near a symplectic leaf

Symplectic Geometry 2007-05-23 v1 Differential Geometry

Abstract

We show how one can handle the formalism developped by Yurii Vorobjev in order to give general results about the problems of linearisation and of normal form of a Poisson structure in the neighborhood of one of its symplectic leaves.

Keywords

Cite

@article{arxiv.math/0403136,
  title  = {Normal forms of Poisson structures near a symplectic leaf},
  author = {Olivier Brahic},
  journal= {arXiv preprint arXiv:math/0403136},
  year   = {2007}
}

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8 pages