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Keywords:
natural operator; symplectic manifold; Poisson manifold; Jacobi manifold
natural operator; symplectic manifold; Poisson manifold; Jacobi manifold
Summary:
A complete classification of natural transformations of symplectic structures into Poisson's brackets as well as into Jacobi's brackets is given.
References:
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[3] Peetre J.: Une caractérisation abstraite des opérateurs différentiels. Math. Scand. 7 (1959), 211-218. MR 0112146 | Zbl 0089.32502
[4] Peetre J.: Réctification a l’article “Une caractérisation abstraite des opérateurs différentiels”. Math. Scand. 8 (1960), 116-120. MR 0124611 | Zbl 0097.10402
[5] Vaisman I.: Lectures on the Geometry of Poisson Manifolds. Birkhäuser, Basel–Boston–Berlin, 1994. MR 1269545 | Zbl 0810.53019
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