Poisson structures on the plane and other powers of volume forms

DOI10.1007/BF01102994zbMath0694.58015MaRDI QIDQ909307

Vladimir I. Arnold

Publication date: 1989

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

zbMATH Keywords

Poisson structuresHodge structure

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (8)

Classification of \(b^m\)-Nambu structures of top degree ⋮ Poisson cohomology of plane Poisson structures with isolated singularities revisited ⋮ Equivariant classification of \(b^m\)-symplectic surfaces ⋮ Volume preserving subgroups of \({\mathcal A}\) and \({\mathcal K}\) and singularities in unimodular geometry ⋮ An invitation to singular symplectic geometry ⋮ Euler flows and singular geometric structures ⋮ On the volume elements of a manifold with transverse zeroes ⋮ Poisson cohomology in dimension two

Cites Work

• Discrete groups of reflections in the complex ball
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits

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