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I.M. Gel'fand and I. Ya. Dorfman, Hamiltonian Operator And algebraic Struction Related to Them, Institue of Applied Mathematic, Academiy of Sciences of the USSR. Instituete of Chemical Physic-sJournal of, Academy of Sciences of USSR. Vol.13, No.4, pp. 13-30, October-December 1979.

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Article

On Logarithmic Prequantization of Logarithmic Poisson Manifolds

1University of Maroua, Cameroon


Journal of Mathematical Sciences and Applications. 2016, Vol. 4 No. 1, 4-13
DOI: 10.12691/jmsa-4-1-2
Copyright © 2016 Science and Education Publishing

Cite this paper:
Joseph Dongho, Shuntah Roland Yotcha. On Logarithmic Prequantization of Logarithmic Poisson Manifolds. Journal of Mathematical Sciences and Applications. 2016; 4(1):4-13. doi: 10.12691/jmsa-4-1-2.

Correspondence to: Joseph  Dongho, University of Maroua, Cameroon. Email: josephdongho@yahoo.fr

Abstract

In this article, we are going to introduce and study a new class of differential manifold, called logarithmic Poisson Manifold. We also introduced the notion of Logarithmic Poisson-Lichnerowicz cohomology and applied it to the study of prequantization of logarithmic-Poisson structures.

Keywords