Noncompactness property of fibers and singularities of non-Euclidean Kovalevskaya system on pencil of Lie algebras

DOI10.3103/S0027132220060054zbMath1468.37048OpenAlexW3142359913WikidataQ114039260 ScholiaQ114039260MaRDI QIDQ2027894

V. A. Kibkalo

Publication date: 28 May 2021

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132220060054

zbMATH Keywords

integrabilityLie algebracompactnessHamiltonian systemrigid bodyLiouville foliation

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of Lie algebras and superalgebras to integrable systems (17B80) Integrable cases of motion in rigid body dynamics (70E40) Algebraic geometry methods for problems in mechanics (70G55) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (3)

Realizing integrable Hamiltonian systems by means of billiard books ⋮ First Appelrot class of pseudo-Euclidean Kovalevskaya system ⋮ Billiards with changing geometry and their connection with the implementation of the Zhukovsky and Kovalevskaya cases

Cites Work

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