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26 April 2024

» arxiv » nlin.SI/0307021

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A geometric approach to the separability of the Neumann-Rosochatius system
Claudio Bartocci ; Gregorio Falqui ; Marco Pedroni ;
Date:	12 Jul 2003
Subject:	Exactly Solvable and Integrable Systems; Differential Geometry \| nlin.SI math.DG
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.
Source:	arXiv, nlin.SI/0307021
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