A geometric approach to the separability of the Neumann-Rosochatius system
Exactly Solvable and Integrable Systems
2007-05-23 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.nlin/0307021,
title = {A geometric approach to the separability of the Neumann-Rosochatius system},
author = {Claudio Bartocci and Gregorio Falqui and Marco Pedroni},
journal= {arXiv preprint arXiv:nlin/0307021},
year = {2007}
}
Comments
LaTeX file, 14 pages