English

Semi-local invariants for non-resonnant Poisson structures on S1xRn

Symplectic Geometry 2007-05-23 v1 Dynamical Systems

Abstract

The purpose of this paper is to give a semi-local study along generic closed curves of zeros: we formally classify Poisson structures defined in a neighborhood of Gamma:=S^1x{0} in S^1xR^n, that vanish on Gamma, and whose linear approximation at one point m of Gamma is isomorphic to the dual of a non-resonant Lie algebra.

Cite

@article{arxiv.math/0412238,
  title  = {Semi-local invariants for non-resonnant Poisson structures on S1xRn},
  author = {O. Brahic and J. P. Dufour},
  journal= {arXiv preprint arXiv:math/0412238},
  year   = {2007}
}

Comments

9 pages