%0 Journal Article %J Differential Geom. Appl. 21 (2004) 349-360 %D 2004 %T A geometric approach to the separability of the Neumann-Rosochatius system %A Claudio Bartocci %A Gregorio Falqui %A Marco Pedroni %X 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. %B Differential Geom. Appl. 21 (2004) 349-360 %G en_US %U http://hdl.handle.net/1963/2541 %1 1578 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-12-21T11:58:45Z\\nNo. of bitstreams: 1\\n0307021v1.pdf: 200686 bytes, checksum: 8df72df9ec62154c01c13bf79577d97c (MD5) %R 10.1016/j.difgeo.2004.07.001