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Symplectic Lie-Rinehart-Jacobi Algebras and Contact Manifolds
Open Access article
  Published:2011-03-08
 Printed: Dec 2011
Canadian Mathematical Bulletin
  • Eugène Okassa,
    Université Marien NGOUABI, Faculté des Sciences, Département de Mathematiques, B.P. 69 Brazzaville, Congo
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Abstract

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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