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A linear algebraic setting for Jacobi structures

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Abstract We study linear Jacobi structures on vector spaces and their non-degenerate version, the linear contact structures. We touch several aspects, like transitivity, Poissonization, coisotropy, product structures, transversals. We consider… Click to show full abstract

Abstract We study linear Jacobi structures on vector spaces and their non-degenerate version, the linear contact structures. We touch several aspects, like transitivity, Poissonization, coisotropy, product structures, transversals. We consider the linear version of contact dual pairs and we point out some of their properties.

Keywords: jacobi structures; algebraic setting; linear algebraic; geometry; setting jacobi

Journal Title: Journal of Geometry and Physics
Year Published: 2021

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