On natural Poisson bivectors on the sphere

Details On natural Poisson bivectors on the sphere On natural Poisson bivectors on the sphere

2010-10-18

arxiv.org/abs/1010.3492v4

J. Phys. A: Math. Theor. 44 105203, 2011

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX with AMS fonts, 18 pages, version for the journal

Scientific paper

10.1088/1751-8113/44/10/105203

We discuss the concept of natural Poisson bivectors, which allows us to
consider the overwhelming majority of known integrable systems on the sphere in
framework of bi-Hamiltonian geometry.

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