{
  "id": "0903.4934",
  "version": "v1",
  "published": "2009-03-28T02:50:31.000Z",
  "updated": "2009-03-28T02:50:31.000Z",
  "title": "Embedded cmc hypersurfaces on hyperbolic spaces",
  "authors": [
    "Oscar M. Perdomo"
  ],
  "comment": "14 pages, 8 figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we will prove that for every integer n>1, there exists a real number H_0<-1 such that every H\\in (-\\infty,H_0) can be realized as the mean curvature of a embedding of H^{n-1}\\times S^1 in the (n+1)-dimensional spaces H^{n+1}. For $n=2$ we explicitly compute the value H_0. For a general value n, we provide function \\xi_n defined on (-\\infty,-1), which is easy to compute numerically, such that, if \\xi_n(H)>-2\\pi, then, H can be realized as the mean curvature of a embedding of H^{n-1}\\times S^1 in the (n+1)-dimensional spaces H^{n+1}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-28T02:50:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42",
      "53C50"
    ],
    "keywords": [
      "embedded cmc hypersurfaces",
      "hyperbolic spaces",
      "mean curvature",
      "real number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.4934P"
    }
  }
}