Classification of \(b^m\)-Nambu structures of top degree

DOI10.1016/j.crma.2017.12.009zbMath1388.53093OpenAlexW2779452608MaRDI QIDQ1704653

Arnau Planas, Eva Miranda

Publication date: 12 March 2018

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.2017.12.009

zbMATH Keywords

Nambu structurescomplex of \(b^m\)-formsMazzeo-Melrose-type formula

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) de Rham theory in global analysis (58A12) Differential forms in global analysis (58A10)

Related Items (5)

Relative logarithmic cohomology and Nambu structures of maximal degree ⋮ Obstructions for symplectic Lie algebroids ⋮ Equivariant classification of \(b^m\)-symplectic surfaces ⋮ The geometry of \(E\)-manifolds ⋮ On the volume elements of a manifold with transverse zeroes

Cites Work

• Unnamed Item
• The geometry of \(b^k\) manifolds
• Symplectic and Poisson geometry on \( b\)-manifolds
• Cotangent models for integrable systems
• Poisson structures on the plane and other powers of volume forms
• On foundation of the generalized Nambu mechanics
• Examples of integrable and non-integrable systems on singular symplectic manifolds
• Deformations of log-symplectic structures
• Toric Actions onb-Symplectic Manifolds
• Generalized Hamiltonian Dynamics
• Global Classification of Generic Multi‐Vector Fields of Top Degree
• On the Volume Elements on a Manifold

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