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Jacobi fields of completely integrable Hamiltonian systems

G. Giachetta, L. Mangiarotti, G. Sardanashvily

math-pharXiv:math-ph/0205026

Abstract

We show that Jacobi fields of a completely integrable Hamiltonian system of m degrees of freedom also make up a completely integrable system. They provide m additional first integrals which characterize a relative motion.

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