@article {2003,
	title = {Separation of variables for Bi-Hamiltonian systems},
	journal = {Math. Phys. Anal. Geom. 6 (2003) 139-179},
	number = {SISSA;27/2002/FM},
	year = {2003},
	publisher = {SISSA Library},
	abstract = {We address the problem of the separation of variables for the Hamilton-Jacobi equation within the theoretical scheme of bi-Hamiltonian geometry. We use the properties of a special class of bi-Hamiltonian manifolds, called omega-N manifolds, to give intrisic tests of separability (and Staeckel separability) for Hamiltonian systems. The separation variables are naturally associated with the geometrical structures of the omega-N manifold itself. We apply these results to bi-Hamiltonian systems of the Gel\\\'fand-Zakharevich type and we give explicit procedures to find the separated coordinates and the separation relations.},
	doi = {10.1023/A:1024080315471},
	url = {http://hdl.handle.net/1963/1598},
	author = {Gregorio Falqui and Marco Pedroni}
}
