{
  "id": "1104.2687",
  "version": "v1",
  "published": "2011-04-14T07:59:24.000Z",
  "updated": "2011-04-14T07:59:24.000Z",
  "title": "Singularity of projections of 2-dimensional measures invariant under the geodesic flow",
  "authors": [
    "Risto Hovila",
    "Esa Järvenpää",
    "Maarit Järvenpää",
    "François Ledrappier"
  ],
  "comment": "12 pages",
  "categories": [
    "math.DS",
    "math-ph",
    "math.DG",
    "math.MP"
  ],
  "abstract": "We show that on any compact Riemann surface with variable negative curvature there exists a measure which is invariant and ergodic under the geodesic flow and whose projection to the base manifold is 2-dimensional and singular with respect to the 2-dimensional Lebesgue measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-14T07:59:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C45",
      "53D25",
      "37D20",
      "28A80"
    ],
    "keywords": [
      "geodesic flow",
      "measures invariant",
      "projection",
      "singularity",
      "compact riemann surface"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-011-1387-6",
      "journal": "Communications in Mathematical Physics",
      "year": 2012,
      "month": "May",
      "volume": 312,
      "number": 1,
      "pages": 127
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012CMaPh.312..127H"
    }
  }
}