{ "id": "math-ph/0205026", "version": "v1", "published": "2002-05-19T18:19:40.000Z", "updated": "2002-05-19T18:19:40.000Z", "title": "Jacobi fields of completely integrable Hamiltonian systems", "authors": [ "G. Giachetta", "L. Mangiarotti", "G. Sardanashvily" ], "comment": "6 pages", "doi": "10.1016/S0375-9601(03)00211-1", "categories": [ "math-ph", "math.DS", "math.MP" ], "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.", "revisions": [ { "version": "v1", "updated": "2002-05-19T18:19:40.000Z" } ], "analyses": { "keywords": [ "integrable hamiltonian system", "jacobi fields", "additional first integrals", "integrable system" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }