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Symplectic Lie–Rinehart–Jacobi Algebras and Contact Manifolds

Published online by Cambridge University Press:  20 November 2018

Eugène Okassa
Eugène Okassa*
Affiliation:
Université Marien NGOUABI, Faculté des Sciences, Département de Mathematiques, B.P. 69 Brazzaville, Congoe-mail: [email protected]
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Abstract

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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

13N0553D0553D10Lie–Rinehart algebrasdifferential operatorsJacobi manifoldssymplectic manifoldscontact manifolds
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 54 , Issue 4 , 01 December 2011 , pp. 716 - 725
Copyright
Copyright © Canadian Mathematical Society 2011

References

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[4] Okassa, E., On Lie–Rinehart–Jacobi algebras. J. Algebra Appl. 7(2008), no. 6, 749–772. doi:10.1142/S0219498808003107Google Scholar
[5] Rinehart, G., Differential forms for general commutative algebras.. Trans. Amer. Math. Soc. 108(1963), 195–222. doi:10.1090/S0002-9947-1963-0154906-3Google Scholar