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

TitleA geometric approach to the separability of the Neumann-Rosochatius system
Publication TypeJournal Article
Year of Publication2004
AuthorsBartocci, C, Falqui, G, Pedroni, M
JournalDifferential Geom. Appl. 21 (2004) 349-360
Abstract

We 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.

URLhttp://hdl.handle.net/1963/2541
DOI10.1016/j.difgeo.2004.07.001

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