Normal forms for two classes of exact Poisson structures in dimension four

被引:3
|
作者
Cruz, I [1 ]
Mena-Matos, H [1 ]
机构
[1] Univ Porto, Ctr Matemat, Dept Matemat Aplicada, Fac Ciencias, P-4169007 Oporto, Portugal
来源
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2006年 / 73卷
关键词
D O I
10.1112/S0024610705022532
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider singular exact Poisson structures on an oriented manifold of dimension 4. Using normal forms for divergence-free vector fields on R-3 and for 1-parameter deformations of functions on R-3 we produce normal forms for two classes of such Poisson structures around the singular point.
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页码:194 / 208
页数:15
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