{
  "id": "math/0011039",
  "version": "v1",
  "published": "2000-11-07T17:01:51.000Z",
  "updated": "2000-11-07T17:01:51.000Z",
  "title": "Index Growth of hypersurfaces with constant mean curvature",
  "authors": [
    "Pierre Bérard",
    "Levi Lopes de Lima",
    "Wayne Rossman"
  ],
  "comment": "13 pages, to appear in Mathematische Zeitschrift",
  "journal": "Math. Zeit. 239 (2002), 99-115",
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we give the precise index growth for the embedded hypersurfaces of revolution with constant mean curvature (cmc) 1 in $\\R^{n}$ (Delaunay unduloids). When $n=3$, using the asymptotics result of Korevaar, Kusner and Solomon, we derive an explicit asymptotic index growth rate for finite topology cmc 1 surfaces with properly embedded ends. Similar results are obtained for hypersurfaces with cmc bigger than 1 in hyperbolic space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-11-07T17:01:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A10",
      "53A35"
    ],
    "keywords": [
      "constant mean curvature",
      "hypersurfaces",
      "explicit asymptotic index growth rate",
      "precise index growth",
      "finite topology cmc"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....11039B"
    }
  }
}