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On a Poisson reduction for Gel'fand--Zakharevich manifolds

G. Falqui·M. Pedroni
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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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G. Falqui, M. Pedroni. 2002-04-19. On a Poisson reduction for Gel'fand--Zakharevich manifolds. https://doi.org/10.1016/s0034-4877(02)80068-4

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