Curl vector fields and quadratic Poisson structures. (Rotationnels et structures de Poisson quadratiques.) (French) Zbl 0719.58001

It is given a characterization of the quadratic Poisson structures whose eigenvalues verify some generic condition. A complete classification of the 3-dimensional quadratic Poisson structures is also stated.
Reviewer: D.Motreanu (Iaşi)


53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53D17 Poisson manifolds; Poisson groupoids and algebroids
58A30 Vector distributions (subbundles of the tangent bundles)
17B63 Poisson algebras