{
  "id": "1209.0807",
  "version": "v1",
  "published": "2012-09-04T21:50:46.000Z",
  "updated": "2012-09-04T21:50:46.000Z",
  "title": "Lagrangian submanifolds and Hamilton-Jacobi equation",
  "authors": [
    "M. Barbero-Liñán",
    "M. de León",
    "D. Martín de Diego"
  ],
  "comment": "18 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Lagrangian submanifolds are becoming a very essential tool to generalize and geometrically understand results and procedures in the area of mathematical physics. Here we use general Lagrangian submanifolds to provide a geometric version of the Hamilton-Jacobi equation. This interpretation allows us to study some interesting applications of Hamilton-Jacobi equation in holonomic, nonholonomic and time-dependent dynamics from a geometrical point of view.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-04T21:50:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hamilton-jacobi equation",
      "general lagrangian submanifolds",
      "essential tool",
      "time-dependent dynamics",
      "geometric version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.0807B"
    }
  }
}