Lax representation and Poisson geometry of the Kowalevski top

DOI10.1088/0305-4470/34/11/301zbMath1004.37042OpenAlexW1998480292MaRDI QIDQ2716875

Gregorio Falqui

Publication date: 10 April 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/24cd72ec4bbad862614323d20ff362aeb63e21a0

zbMATH Keywords

Lax representationPoisson geometryDirac reductionKowalevski topKowalevski gyrostatGel'fand-Zakharevich geometryLenard sequences

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) 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) Integrable cases of motion in rigid body dynamics (70E40)

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