Foliations associated to regular poisson structures

@inproceedings{Bertelson2000FoliationsAT,
  title={Foliations associated to regular poisson structures},
  author={M{\'e}lanie Bertelson},
  year={2000}
}
A regular Poisson manifold can be described as a foliated space carrying a tangentially symplectic form. Examples of foliations are produced here that are not induced by any Poisson structure although all the basic obstructions vanish. Introduction A Poisson manifold is a smooth manifold M whose algebra of functions C(M) carries a Lie algebra bracket { , } for which each adjoint operator {f, ·} is a derivation of the pointwise multiplication. As revealed by an investigation of its local… CONTINUE READING

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