{
  "id": "math/0302072",
  "version": "v1",
  "published": "2003-02-06T20:41:45.000Z",
  "updated": "2003-02-06T20:41:45.000Z",
  "title": "Measures Invariant under the Geodesic Flow and their Projections",
  "authors": [
    "Craig J. Sutton"
  ],
  "comment": "4 pages, To appear in Proc. Amer. Math. Soc",
  "categories": [
    "math.DG",
    "math.DS"
  ],
  "abstract": "Let $S^{n}$ be the $n$-sphere of constant positive curvature. For $n \\geq 2$, we will show that a measure on the unit tangent bundle of $S^{2n}$, which is even and invariant under the geodesic flow, is not uniquely determined by its projection to $S^{2n}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-02-06T20:41:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D25"
    ],
    "keywords": [
      "geodesic flow",
      "measures invariant",
      "projection",
      "unit tangent bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......2072S"
    }
  }
}