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.
引用
收藏
页码：194 / 208
页数：15
相关论文
共 50 条
  • [41] Modular classes of regular twisted Poisson structures on Lie algebroids
    Kosmann-Schwarzbach, Yvette
    Yakimov, Milen
    LETTERS IN MATHEMATICAL PHYSICS, 2007, 80 (02) : 183 - 197
  • [42] Modular Classes of Regular Twisted Poisson Structures on Lie Algebroids
    Yvette Kosmann-Schwarzbach
    Milen Yakimov
    Letters in Mathematical Physics, 2007, 80 : 183 - 197
  • [43] GELFAND-DORFMAN THEOREM AND EXACT COCYCLE POISSON STRUCTURES
    BHASKARA, KH
    LEAHY, JV
    RAMA, K
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1995, 34 (03) : 443 - 452
  • [44] Geometric Structures in Four-dimension and Almost Hermitian Structures
    Matsushita, Yasuo
    INTERNATIONAL WORKSHOP ON COMPLEX STRUCTURES, INTEGRABILITY AND VECTOR FIELDS, 2011, 1340 : 66 - 80
  • [45] Constructions of Generalized Complex Structures in Dimension Four
    Rafael Torres
    Communications in Mathematical Physics, 2012, 314 : 351 - 371
  • [46] Constructions of Generalized Complex Structures in Dimension Four
    Torres, Rafael
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2012, 314 (02) : 351 - 371
  • [47] EXACT-SOLUTIONS FOR PERTURBATIONS OF VLASOV-POISSON STRUCTURES
    NARDI, V
    GRATTON, FT
    GNAVI, G
    PHYSICS LETTERS A, 1987, 121 (8-9) : 427 - 429
  • [48] ON BOTT-MORSE FOLIATIONS AND THEIR POISSON STRUCTURES IN DIMENSION THREE
    Evangelista-Alvarado, M.
    Suarez-Serrato, P.
    Torres Orozco, J.
    Vera, R.
    JOURNAL OF SINGULARITIES, 2019, 19 : 19 - 33
  • [49] Composition of post classes and normal forms of Boolean functions
    Couceiro, Miguel
    Foldes, Stephan
    Lehtonen, Erkko
    DISCRETE MATHEMATICS, 2006, 306 (24) : 3223 - 3243
  • [50] The complexity of transformation of normal forms for characteristic functions of classes
    Djukova E.V.
    Nefedov V.Y.
    Pattern Recognition and Image Analysis, 2009, 19 (3) : 435 - 440
12345