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A linear algebraic setting for Jacobi structures
Journal of Geometry and Physics ( IF 1.6 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.geomphys.2020.103904
Eugen-Mihăiţă Cioroianu , Cornelia Vizman

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.

中文翻译:

Jacobi 结构的线性代数设置

摘要 我们研究向量空间上的线性雅可比结构及其非退化形式,即线性接触结构。我们涉及几个方面,如传递性、泊松化、各向同性、产品结构、横向。我们考虑接触对偶的线性版本,并指出它们的一些特性。
更新日期:2021-01-01
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