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Symplectic Lie-Rinehart-Jacobi algebras and contact manifolds. (English) Zbl 1232.53062

Summary: We give a characterization of contact manifolds in terms of symplectic Lie-Rinehart-Jacobi algebras. We also give a sufficient condition for a Jacobi manifold to be a contact manifold.

MSC:

53D05 Symplectic manifolds (general theory)
13N05 Modules of differentials
53D10 Contact manifolds (general theory)
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