{
  "id": "math-ph/0604066",
  "version": "v1",
  "published": "2006-04-26T16:39:50.000Z",
  "updated": "2006-04-26T16:39:50.000Z",
  "title": "Lagrangian and Hamiltonian dynamics of submanifolds",
  "authors": [
    "G. Giachetta",
    "L. Mangiarotti",
    "G. Sardanashvily"
  ],
  "comment": "19 pages",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "Submanifolds of a manifold are described as sections of a certain fiber bundle that enables one to consider their Lagrangian and (polysymplectic) Hamiltonian dynamics as that of a particular classical field theory. In particular, their Lagrangians and Hamiltonians must satisfy rather restrictive Noether identities. For instance, this is the case of relativistic mechanics and classical string theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-04-26T16:39:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hamiltonian dynamics",
      "lagrangian",
      "submanifolds",
      "relativistic mechanics",
      "restrictive noether identities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 715467,
      "adsabs": "2006math.ph...4066G"
    }
  }
}