Singularities and bifurcations of 3-dimensional Poisson structures

DOI10.1007/BF02802504zbMath0992.37049arXivmath/9802115MaRDI QIDQ5937677

Jean-Paul Dufour, Michail Zhitomirskii

Publication date: 12 July 2001

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9802115

zbMATH Keywords

normal formsintegrable Pfaffiansolvable Lie algebra

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (2)

Quadratic Poisson structures and Nambu mechanics ⋮ Applications of Nambu mechanics to systems of hydrodynamical type

Cites Work

• The local structure of Poisson manifolds
• Normal forms for analytic Poisson structures
• Linéarisation de certaines structures de Poisson. (Linearization of certain Poisson structures)
• Normal forms for smooth Poisson structures
• Sur l'existence d'intégrale première pour un germe de forme de Pfaff
• Frobenius avec singularites. I: Codimension un
• Les variétés de Poisson et leurs algèbres de Lie associees
• The modular automorphism group of a Poisson manifold
• THE SINGULARITIES OF INTEGRABLE STRUCTURALLY STABLE PFAFFIAN FORMS
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