• Corpus ID: 15096115

Separable bi-Hamiltonian systems with quadratic in momenta first integrals

  title={Separable bi-Hamiltonian systems with quadratic in momenta first integrals},
  author={Maciej Błaszak},
  journal={arXiv: Exactly Solvable and Integrable Systems},
  • M. Błaszak
  • Published 11 December 2003
  • Mathematics
  • arXiv: Exactly Solvable and Integrable Systems
Geometric separability theory of Gel'fand-Zakharevich bi-Hamiltonian systems on Riemannian manifolds is reviewed and developed. Particular attention is paid to the separability of systems generated by the so-called special conformal Killing tensors, i.e. Benenti systems. Then, infinitely many new classes of separable systems are constructed by appropriate deformations of Benenti class systems. All such systems can be lifted to the Gel'fand-Zakharevich bi-Hamiltonian form. 

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