{
  "id": "0803.1678",
  "version": "v1",
  "published": "2008-03-11T20:51:52.000Z",
  "updated": "2008-03-11T20:51:52.000Z",
  "title": "Geodesic Equations on Diffeomorphism Groups",
  "authors": [
    "Cornelia Vizman"
  ],
  "comment": "This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/",
  "journal": "SIGMA 4 (2008), 030, 22 pages",
  "doi": "10.3842/SIGMA.2008.030",
  "categories": [
    "math.DG"
  ],
  "abstract": "We bring together those systems of hydrodynamical type that can be written as geodesic equations on diffeomorphism groups or on extensions of diffeomorphism groups with right invariant $L^2$ or $H^1$ metrics. We present their formal derivation starting from Euler's equation, the first order equation satisfied by the right logarithmic derivative of a geodesic in Lie groups with right invariant metrics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-11T20:51:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diffeomorphism groups",
      "geodesic equations",
      "right invariant metrics",
      "lie groups",
      "right logarithmic"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "publication": {
      "journal": "SIGMA",
      "year": 2008,
      "month": "Mar",
      "volume": 4,
      "pages": "030"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008SIGMA...4..030V"
    }
  }
}