Geometry of Poisson structures |
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Authors: | Z Giunashvili |
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Institution: | (1) Department of Applied Mathematics, Georgian Technical University, 77, M. Kostava St., 380075 Tbilisi, Republic of Georgia |
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Abstract: | The purpose of this paper is to consider certain mechanisms of the emergence of Poisson structures on a manifold. We shall also establish some properties of the bivector field that defines a Poisson structure and investigate geometrical structures on the manifold induced by such fields. Further, we shall touch upon the dualism between bivector fields and differential 2-forms. |
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Keywords: | 30C45 |
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