2008Journal of Symplectic GeometryOpen access

On Poisson functions

Yuji Terashima

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Abstract

In this paper, defining Poisson functions on super manifolds, we show that the graphs of Poisson functions are Dirac structures, and find Poisson functions which include as special cases both quasi-Poisson structures and twisted Poisson structures.

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In this paper, defining Poisson functions on super manifolds, we show that the graphs of Poisson functions are Dirac structures, and find Poisson functions which include as special cases both quasi-Poisson structures and twisted Poisson structures.

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OpenAlex reports 14 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, defining Poisson functions on super manifolds, we show that the graphs of Poisson functions are Dirac structures, and find Poisson functions which include as special cases both quasi-Poisson structures and twisted Poisson structures.

Key concepts: Poisson distribution, Mathematics, Uniqueness theorem for Poisson's equation, Compound Poisson process, Discrete Poisson equation, Pure mathematics, Dirac (video compression format), Poisson manifold

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