{
  "id": "0904.4743",
  "version": "v1",
  "published": "2009-04-30T05:50:52.000Z",
  "updated": "2009-04-30T05:50:52.000Z",
  "title": "The cut loci on ellipsoids and certain Liouville manifolds",
  "authors": [
    "Jin-ichi Itoh",
    "Kazuyoshi Kiyohara"
  ],
  "comment": "40 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We show that some riemannian manifolds diffeomorphic to the sphere have the property that the cut loci of general points are smoothly embedded closed disks of codimension one. Ellipsoids with distinct axes are typical examples of such manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-30T05:50:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C22"
    ],
    "keywords": [
      "cut loci",
      "liouville manifolds",
      "ellipsoids",
      "riemannian manifolds diffeomorphic",
      "distinct axes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.4743I"
    }
  }
}