On bi-integrable natural Hamiltonian systems on the Riemannian manifolds
Exactly Solvable and Integrable Systems
2011-09-06 v4
Abstract
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.
Keywords
Cite
@article{arxiv.1006.3914,
title = {On bi-integrable natural Hamiltonian systems on the Riemannian manifolds},
author = {A. V. Tsiganov},
journal= {arXiv preprint arXiv:1006.3914},
year = {2011}
}
Comments
24 pages, LaTeX with AMSfonts (some new references were added)