Holomorphic normalisation of Poisson structures whose 1-jet vanish.

DOI10.1016/J.CRMA.2005.04.029zbMath1069.37046OpenAlexW2035865283MaRDI QIDQ556949

Philipp Lohrmann

Publication date: 23 June 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.04.029

zbMATH Keywords

normal formDiophantine condition on a Lie algebra

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Cohomology of Lie (super)algebras (17B56)

Related Items (3)

Rigidity of Poisson structures ⋮ Sectorial normalization of Poisson structures ⋮ Holomorphic normalisation of Poisson structures whose 1-jet vanish.

Cites Work

• Holomorphic normalisation of Poisson structures whose 1-jet vanish.
• The local structure of Poisson manifolds
• Normal forms of Poisson structures with zero 1-jet at a point
• Sur les structures de Poisson singulières
• Singular complete integrability

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