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math-ph2009★ 1 cited
On the geometric origin of the bi-Hamiltonian structure of the Calogero-Moser system
C. Bartocci, G. Falqui, I. Mencattini +2
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 p…
math-ph2006★ 4 cited
A Note on the Rotationally Symmetric SO(4) Euler Rigid Body
Gregorio Falqui
We consider an SO(4) Euler rigid body with two 'inertia momenta' coinciding. We study it from the point of view of bihamiltonian geometry. We show how to algebraically integrate it…