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
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
收藏
页码:33 / 42
页数:10
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