{
  "id": "1102.1565",
  "version": "v1",
  "published": "2011-02-08T10:48:03.000Z",
  "updated": "2011-02-08T10:48:03.000Z",
  "title": "A new bound on the Morse index of constant mean curvature tori of revolution in $\\mathbb{S}^3$",
  "authors": [
    "Antonio Cañete"
  ],
  "comment": "12 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this work we give a new lower bound on the Morse index for constant mean curvature tori of revolution immersed in the three-sphere $\\mathbb{S}^3$, by computing some explicit negative eigenvalues for the corresponding Jacobi operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-08T10:48:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42"
    ],
    "keywords": [
      "constant mean curvature tori",
      "morse index",
      "revolution",
      "lower bound",
      "explicit negative eigenvalues"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.1565C"
    }
  }
}