Singularities of Poisson structures where 1-jet vanishes appear in a stable manner because they are genetically not destroyed by small perturbations of the Poisson structure. In this paper we study these singularities. We give first a normal form for Poisson structures with zero 1-jet but with a "generic" 2-jet at a point. We give also a "quadratisation" result in class C∞.
All Science Journal Classification (ASJC) codes
- Mathematical Physics
- Physics and Astronomy(all)
- Geometry and Topology