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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)

##### MSC:
 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