Modèles locaux de structures de Poisson singulières en dimension 3

DOI10.24033/bsmf.2318zbMath0949.37035OpenAlexW2530490137MaRDI QIDQ4210749

Aïssa Wade

Publication date: 10 December 2000

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1997__125_4_573_0

zbMATH Keywords

Poisson structuresdiagonalizable 2-jetsingular integrable 1-forms

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Cites Work

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• 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
• Les variétés de Poisson et leurs algèbres de Lie associees
• Normal forms of Poisson structures with zero 1-jet at a point
• The topology on integrable differential forms near a singularity
• A new family of nondegenerate Lie algebras
• Formes tangentes à des actions commutatives
• Holonomie et intégrales premières
• Normalisation formelle de structures de Poisson
• Quadratisation de Certaines Structures de Poisson
• Local structural stability of \(C^2\) integrable 1-forms

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