Geodesic
Separation of Variables in Multi-Hamiltonian Systems: An Application to the Lagrange Top
Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 2, pp. 226-238

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Starting from the tri-Hamiltonian formulation of the Lagrange top in a six-dimensional phase space, we discuss the reduction of the vector field and of the Poisson tensors. We show explicitly that after the reduction to each symplectic leaf, the vector field of the Lagrange top is separable in the Hamilton–Jacobi sense.
Mots-clés : Lagrange top
Keywords: Hamiltonian formulation, separability. 
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     author = {C. Morosi and G. Tondo},
     title = {Separation of {Variables} in {Multi-Hamiltonian} {Systems:} {An} {Application} to the {Lagrange} {Top}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {226--238},
     publisher = {mathdoc},
     volume = {137},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_137_2_a8/}
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C. Morosi; G. Tondo. Separation of Variables in Multi-Hamiltonian Systems: An Application to the Lagrange Top. Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 2, pp. 226-238. http://geodesic.mathdoc.fr/item/TMF_2003_137_2_a8/