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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2006 Volume 335, Pages 231–245 (Mi znsl217)

On classification of the compatible Lie–Poisson brackets on the manifold $e^*(3)$

A. V. Tsiganov

Saint-Petersburg State University

Abstract: Classification of the compatible ie–Poisson brackets on the manifold $e^*(3)$ is constructed. The corresponding bi-Hamiltonian systems are the classical integrable cases of the Euler–Poisson and Kirvhhof equations describing the motion of a solid body.

UDC: 517.9

Received: 10.05.2006


 English version:
Journal of Mathematical Sciences (New York), 2007, 143:1, 2831–2839

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