Geodesic
Symplectic Lie–Rinehart–Jacobi Algebras and Contact Manifolds
Canadian mathematical bulletin, Tome 54 (2011) no. 4, pp. 716-725

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DOI

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.
DOI : 10.4153/CMB-2011-033-6
Mots-clés : 13N05, 53D05, 53D10, Lie–Rinehart algebras, differential operators, Jacobi manifolds, symplectic manifolds, contact manifolds 
Okassa, Eugène. Symplectic Lie–Rinehart–Jacobi Algebras and Contact Manifolds. Canadian mathematical bulletin, Tome 54 (2011) no. 4, pp. 716-725. doi: 10.4153/CMB-2011-033-6
@article{10_4153_CMB_2011_033_6,
     author = {Okassa, Eug\`ene},
     title = {Symplectic {Lie{\textendash}Rinehart{\textendash}Jacobi} {Algebras} and {Contact} {Manifolds}},
     journal = {Canadian mathematical bulletin},
     pages = {716--725},
     year = {2011},
     volume = {54},
     number = {4},
     doi = {10.4153/CMB-2011-033-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-033-6/}
}
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