English

A note on equivariant normal forms of Poisson structures

Symplectic Geometry 2013-01-08 v2 Differential Geometry

Abstract

We prove an equivariant version of the local splitting theorem for tame Poisson structures and Poisson actions of compact Lie groups. As a consequence, we obtain an equivariant linearization result for Poisson structures whose transverse structure has semisimple linear part of compact type.

Keywords

Cite

@article{arxiv.math/0510523,
  title  = {A note on equivariant normal forms of Poisson structures},
  author = {Eva Miranda and Nguyen Tien Zung},
  journal= {arXiv preprint arXiv:math/0510523},
  year   = {2013}
}

Comments

14 pages