On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system
arXiv:0902.0953
Abstract
We show that the bi-Hamiltonian structure of the rational n-particle (attractive) Calogero-Moser system can be obtained by means of a double projection from a very simple Poisson pair on the cotangent bundle of gl(n,R). The relation with the Lax formalism is also discussed.
19 pages, no figures, minor changes and remarks added