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arxiv: math-ph/0205026 · v1 · submitted 2002-05-19 · 🧮 math-ph · math.DS· math.MP

Jacobi fields of completely integrable Hamiltonian systems

classification 🧮 math-ph math.DSmath.MP
keywords completelyintegrablefieldshamiltonianjacobisystemadditionalcharacterize
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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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