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  • Print publication year: 2019
  • Online publication date: October 2019

5 - First Integrals and Integrable Systems


In this chapter we present some applications of the Hamiltonian formalism developed in Chapter 4. We give a proof of the well-known Arnold–Liouville theorem and, as an application, we study the complete integrability of the geodesic flow on a special class of Riemannian manifolds.

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