A \(C^{\infty }\)-example of bihamiltonian structure with no local decomposition into a product Kronecker-symplectic

DOI10.1016/J.CRMA.2011.02.019zbMath1227.53085OpenAlexW2017617170MaRDI QIDQ533989

Francisco-Javier Turiel

Publication date: 10 May 2011

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.2011.02.019

zbMATH Keywords

symplectic geometrycharacteristic polynomialbi-Hamiltonian structuresKronecker-symplectic product

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05)

Related Items (1)

Jordan-Kronecker invariants of finite-dimensional Lie algebras

Cites Work

• Local decomposition into a Kronecker-symplectic product of a bi-Hamiltonian structure
• An example of a smooth linear partial differential equation without solution
• The Lewy counterexample and the local equivalence problem for G- structures
• Unnamed Item

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