{
  "id": "1201.4991",
  "version": "v1",
  "published": "2012-01-24T14:43:50.000Z",
  "updated": "2012-01-24T14:43:50.000Z",
  "title": "Positive mass and Penrose type inequalities for asymptotically hyperbolic hypersurfaces",
  "authors": [
    "Levi Lopes de Lima",
    "Frederico Girão"
  ],
  "comment": "18 pages, no figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "We establish versions of the Positive Mass and Penrose inequalities for a class of asymptotically hyperbolic hypersurfaces. In particular, under the usual dominant energy condition, we prove in all dimensions $n\\geq 3$ an optimal Penrose inequality for certain graphs in hyperbolic space $\\mathbb H^{n+1}$ whose boundary has constant mean curvature $n-1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-24T14:43:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C24",
      "53C21"
    ],
    "keywords": [
      "asymptotically hyperbolic hypersurfaces",
      "penrose type inequalities",
      "positive mass",
      "usual dominant energy condition",
      "constant mean curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.4991L"
    }
  }
}