Invariant foliations of nondegenerate bi-Hamiltonian structures

DOI10.1007/s10958-017-3481-6zbMath1373.37141OpenAlexW2740164261MaRDI QIDQ2405136

I. K. Kozlov

Publication date: 21 September 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3481-6

zbMATH Keywords

bi-Hamiltonian structureNijenhuis tensor

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Cites Work

• Pencils of complex and real symmetric and skew matrices
• Generalized Liouville method of integration of Hamiltonian systems
• Simultaneous local classification of two compatible symplectic forms
• An elementary proof of the Jordan-Kronecker theorem
• COMPATIBLE POISSON BRACKETS ON LIE ALGEBRAS AND COMPLETENESS OF FAMILIES OF FUNCTIONS IN INVOLUTION
• Kronecker webs, bihamiltonian structures, and the method of argument translation
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