The Kowalevski top as a reduction of a Hamiltonian system on $\mathfrak {sp}(4, \mathbb {R})^*$

DOI10.1090/S0002-9939-02-06541-3zbMath1059.70004OpenAlexW1659619020MaRDI QIDQ4779867

No author found.

Publication date: 28 October 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06541-3

zbMATH Keywords

integral of motionCasimir functionLax-pair representation

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Motion of a rigid body with a fixed point (70E17) Motion of the gyroscope (70E05)

Related Items (2)

Kowalewski top and complex Lie algebras ⋮ Algebraic integrability: the Adler-Van Moerbeke approach

Cites Work

• Unnamed Item
• Unnamed Item
• A Lax pair for Kowalevski's top
• Lax representation with a spectral parameter for the Kowalevski top and its generalizations
• The Kowalewski and Hénon-Heiles motions as Manakov geodesic flows on SO(4) - a two-dimensional family of Lax pairs
• Completely integrable systems: Jacobi's heritage
• The Kowalevski top: its \(r\)-matrix interpretation and bihamiltonian formulation
• The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions
• Integrable Hamiltonian systems on Lie groups: Kowalewski type

This page was built for publication: The Kowalevski top as a reduction of a Hamiltonian system on $\mathfrak {sp}(4, \mathbb {R})^*$