On a poisson reduction for Gel'fand-Zakharevich manifolds |
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| Authors: | Gregorio Falqui |
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| Affiliation: | SISSA, Via Beirut 2/4, I-34014, Trieste, Italy;Dipartimento di Matematica, Università di Genova Via Dodecaneso 35, I-16146, Genova, Italy |
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| Abstract: | We formulate and discuss a reduction theorem for Poisson pencils associated with a class of integrable systems, defined on bi-Hamiltonian manifolds, recently studied by Gel'fand and Zakharevich. The reduction procedure is suggested by the bi-Hamiltonian approach to the separation of variables problem. |
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| Keywords: | Bi-Hamiltonian manifolds Hamiltonian reduction Poisson manifolds |
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