NORMAL FORMS FOR TWO CLASSES OF EXACT POISSON STRUCTURES IN DIMENSION FOUR
Published online by Cambridge University Press: 22 February 2006
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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- The London Mathematical Society 2006
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