English

Singularities and bifurcations of 3-dimensional Poisson structure

Differential Geometry 2007-05-23 v1

Abstract

We give a normal form for families of 3-dimensional Poisson structures. This allows us to classify singularities with nonzero 1-jet and typical bifurcations. The Appendix contains corollaries on classification of families of integrable 1-forms on $R^3

Keywords

Cite

@article{arxiv.math/9802115,
  title  = {Singularities and bifurcations of 3-dimensional Poisson structure},
  author = {J. -P. Dufour and M. Zhitomirskii},
  journal= {arXiv preprint arXiv:math/9802115},
  year   = {2007}
}

Comments

TEX file, 19 pages

R2 v1 2026-07-22T17:57:49.290Z