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.

Keywords:

Lie-Rinehart algebras, differential operators, Jacobi manifolds, symplectic manifolds, contact manifolds Lie-Rinehart algebras, differential operators, Jacobi manifolds, symplectic manifolds, contact manifolds

MSC Classifications:

13N05, 53D05, 53D10 show english descriptions Modules of differentials
Symplectic manifolds, general
Contact manifolds, general 13N05 - Modules of differentials
53D05 - Symplectic manifolds, general
53D10 - Contact manifolds, general

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