J un 2 00 9 On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system

@inproceedings{Bartocci2009JU2,
  title={J un 2 00 9 On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system},
  author={Claudio Bartocci and G. Falqui and I. Mencattini and Gianluigi Ortenzi and Marco Pedroni},
  year={2009}
}
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.