{
  "id": "0712.0108",
  "version": "v2",
  "published": "2007-12-03T19:23:10.000Z",
  "updated": "2008-05-17T12:59:31.000Z",
  "title": "On the moduli of constant mean curvature cylinders of finite type in the 3-sphere",
  "authors": [
    "M. Kilian",
    "M. U. Schmidt"
  ],
  "comment": "Expanded and revised",
  "categories": [
    "math.DG"
  ],
  "abstract": "We show that one-sided Alexandrov embedded constant mean curvature cylinders of finite type in the 3-sphere are surfaces of revolution. This confirms a conjecture by Pinkall and Sterling that the only embedded constant mean curvature tori in the 3-sphere are rotational.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-05-17T12:59:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite type",
      "embedded constant mean curvature tori",
      "embedded constant mean curvature cylinders",
      "alexandrov embedded constant mean curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.0108K"
    }
  }
}