On some deformations of the Poisson structure associated with the algebroid bracket of differential forms

被引：0

作者：

Dobrogowska, Alina ^{[1
]}

Jakimowicz, Grzegorz ^{[1
]}

Wojciechowicz, Karolina ^{[1
]}

机构：

[1] Univ Bialystok, Inst Math, Ciolkowskiego 1M, PL-15245 Bialystok, Poland

来源：

GEOMETRIC METHODS IN PHYSICS XXXVII | 2020年

关键词：

Poisson manifold; Lie algebroid; deformation of Poisson structure; lifting of multivectors; Lie algebra; LIFTS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the algebroid bracket of differential forms to generate the Poisson structure pi(C) on the tangent bundle TM. Next, we present how to construct deformations of this structure starting from the initial Poisson structure pi on a manifold M.

引用

页码：13 / 23

页数：11

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