ON QUADRATIC POISSON STRUCTURES

被引：52

作者：

LIU, ZJ

XU, P

机构：

[1] UNIV PENN,DEPT MATH,PHILADELPHIA,PA 19104

[2] BEIJING UNIV,DEPT MATH,BEIJING,PEOPLES R CHINA

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1992年 / 26卷 / 01期

关键词：

D O I：

10.1007/BF00420516

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We provide a general study on quadratic Poisson structures on a vector space. In particular, we obtain a decomposition for any quadratic Poisson structures. As an application, we classify all the three-dimensional quadratic Poisson structures up to a Poisson diffeomorphism.

引用

页码：33 / 42

页数：10

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