On bi-integrable natural Hamiltonian systems on the Riemannian manifolds

Details On bi-integrable natural Hamiltonian systems on the Riemannian manifolds On bi-integrable natural Hamiltonian systems on the Riemannian manifolds

2010-06-20

arxiv.org/abs/1006.3914v4

J. of Nonlinear Mathematical Physics, v.18, n.2, 245-268,2011

Nonlinear Sciences

Exactly Solvable and Integrable Systems

24 pages, LaTeX with AMSfonts (some new references were added)

Scientific paper

10.1142/S1402925111001507

We introduce the concept of natural Poisson bivectors, which generalizes the
Benenti approach to construction of natural integrable systems on the
Riemannian manifolds and allows us to consider almost the whole known zoo of
integrable systems in framework of bi-hamiltonian geometry.

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