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NORMAL FORMS FOR TWO CLASSES OF EXACT POISSON STRUCTURES IN DIMENSION FOUR

  • I. CRUZ (a1) and H. MENA-MATOS (a2)

Abstract

We consider singular exact Poisson structures on an oriented manifold of dimension 4. Using normal forms for divergence-free vector fields on ${\mathbb R}^3$ and for 1-parameter deformations of functions on ${\mathbb R}^3$ we produce normal forms for two classes of such Poisson structures around the singular point.

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Financial support from FEDER (approved by FCT - POCTI/MAT/36528/99)

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NORMAL FORMS FOR TWO CLASSES OF EXACT POISSON STRUCTURES IN DIMENSION FOUR

  • I. CRUZ (a1) and H. MENA-MATOS (a2)

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