A geometric approach to the separability of the Neumann-Rosochatius system

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dc.creatorBartocci, Claudio
dc.creatorFalqui, Gregorio
dc.creatorPedroni, Marco
dc.date2003-07-12
dc.date.accessioned2026-07-07T05:34:51Z
dc.date.available2026-07-07T05:34:51Z
dc.descriptionWe study the separability of the Neumann-Rosochatius system on the n-dimensional sphere using the geometry of bi-Hamiltonian manifolds. Its well-known separation variables are recovered by means of a separability condition relating the Hamiltonian with a suitable (1,1) tensor field on the sphere. This also allows us to iteratively construct the integrals of motion of the system.
dc.descriptionLaTeX file, 14 pages
dc.identifierhttps://arxiv.org/abs/nlin/0307021
dc.identifierhttp://arxiv.org/abs/nlin/0307021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80527
dc.subjectExactly Solvable and Integrable Systems
dc.subjectDifferential Geometry
dc.titleA geometric approach to the separability of the Neumann-Rosochatius system
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