| Title | A geometric approach to the separability of the Neumann-Rosochatius system |
| Publication Type | Journal Article |
| Year of Publication | 2004 |
| Authors | Bartocci, C, Falqui, G, Pedroni, M |
| Journal | Differential 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. |
| URL | http://hdl.handle.net/1963/2541 |
| DOI | 10.1016/j.difgeo.2004.07.001 |
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