{
  "id": "0803.2244",
  "version": "v2",
  "published": "2008-03-14T20:44:56.000Z",
  "updated": "2009-05-05T12:10:05.000Z",
  "title": "Vertical Ends of Constant Mean Curvature H=1/2 in H^2\\times R",
  "authors": [
    "Barbara Nelli",
    "Ricardo Sa Earp"
  ],
  "comment": "This is a revised version of the article that we submit before. There was a problem in the construction of graphical ends. We are presently working to fix it.The main geometric constructions will be mantained (replace the previous boundary with a planar boundary curve).Here we present the halfspace type theorem, that correspond to Section 4 of the previous article",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We prove a vertical halfspace theorem for surfaces with constant mean curvature $H={1/2},$ properly immersed in the product space $\\h^2\\times\\re,$ where $\\h^2$ is the hyperbolic plane and $\\re$ is the set of real numbers. The proof is a geometric application of the classical maximum principle for second order elliptic PDE, using the family of non compact rotational $H=1/2$ surfaces in $\\h^2\\times\\re.$",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-05-05T12:10:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "constant mean curvature",
      "vertical ends",
      "second order elliptic pde",
      "non compact rotational",
      "vertical halfspace theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.2244N"
    }
  }
}