{
  "id": "math/0605127",
  "version": "v1",
  "published": "2006-05-04T15:07:59.000Z",
  "updated": "2006-05-04T15:07:59.000Z",
  "title": "Morse index of constant mean curvature tori of revolution in the 3-sphere",
  "authors": [
    "Wayne Rossman",
    "Nahid Sultana"
  ],
  "journal": "Illinois J. Math. 51 (2007), 1329-1340",
  "categories": [
    "math.DG"
  ],
  "abstract": "We compute lower bounds for the Morse index and nullity of constant mean curvature tori of revolution in the three-dimensional unit sphere. In particular, all such tori have index at least five, with index growing at least linearly with respect to the number of the surfaces' bulges, and the index of such tori can be arbitrarily large.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-04T15:07:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42",
      "14E20",
      "53A10",
      "53A35"
    ],
    "keywords": [
      "constant mean curvature tori",
      "morse index",
      "revolution",
      "three-dimensional unit sphere",
      "lower bounds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5127R"
    }
  }
}