English

On bi-hamiltonian geometry of the Lagrange top

Exactly Solvable and Integrable Systems 2009-11-13 v1

Abstract

We consider three different incompatible bi-Hamiltonian structures for the Lagrange top, which have the same foliation by symplectic leaves. These bivectors may be associated with the different 2-coboundaries in the Poisson-Lichnerowicz cohomology defined by canonical bivector on e(3)e^*(3).

Keywords

Cite

@article{arxiv.0802.3951,
  title  = {On bi-hamiltonian geometry of the Lagrange top},
  author = {A. V. Tsiganov},
  journal= {arXiv preprint arXiv:0802.3951},
  year   = {2009}
}

Comments

11 pages, LaTeX with AMS fonts