{
  "id": "1502.02185",
  "version": "v1",
  "published": "2015-02-07T21:13:38.000Z",
  "updated": "2015-02-07T21:13:38.000Z",
  "title": "Monotonicity formula for complete hypersurfaces in the Hyperbolic space and applications",
  "authors": [
    "Hilário Alencar",
    "Gregório Silva Neto"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we prove a monotonicity formula for the integral of the mean curvature for complete and proper hypersurfaces of the hyperbolic space and, as consequences, we obtain a lower bound for the integral of the mean curvature and that the integral of the mean curvature is infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-07T21:13:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42",
      "53C40"
    ],
    "keywords": [
      "hyperbolic space",
      "monotonicity formula",
      "complete hypersurfaces",
      "mean curvature",
      "applications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}