TY - JOUR
T1 - A geometric approach to the separability of the Neumann-Rosochatius system
JF - Differential Geom. Appl. 21 (2004) 349-360
Y1 - 2004
A1 - Claudio Bartocci
A1 - Gregorio Falqui
A1 - Marco Pedroni
AB - 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.
UR - http://hdl.handle.net/1963/2541
U1 - 1578
U2 - Mathematics
U3 - Mathematical Physics
ER -