The C. Neumann problem as a completely integrable system on an adjoint orbit
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- by Tudor Raţiu PDF
- Trans. Amer. Math. Soc. 264 (1981), 321-329 Request permission
Abstract:
It is shown by purely Lie algebraic methods that the ${\text {C}}$. Neumann problem—the motion of a material point on a sphere under the influence of a quadratic potential—is a completely integrable system of Euler-Poisson equations on a minimal-dimensional orbit of a semidirect product of Lie algebras.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 264 (1981), 321-329
- MSC: Primary 58F05; Secondary 70H05
- DOI: https://doi.org/10.1090/S0002-9947-1981-0603766-3
- MathSciNet review: 603766