On a Poisson reduction for Gel'fand--Zakharevich manifolds
G. Falqui, M. Pedroni
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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