{
  "id": "math/0609602",
  "version": "v2",
  "published": "2006-09-21T12:50:37.000Z",
  "updated": "2006-09-29T11:01:30.000Z",
  "title": "Complete Vertical Graphs with Constant Mean Curvature in Semi-Riemannian Warped Products",
  "authors": [
    "Antonio Caminha",
    "Henrique F. de Lima"
  ],
  "comment": "13 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We obtain necessary conditions for the existence of complete vertical graphs of constant mean curvature in the Hyperbolic and Steady State spaces. In the two-dimensional case we prove Bernstein-type results in each of these ambient spaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-09-29T11:01:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42",
      "53B30",
      "53C50"
    ],
    "keywords": [
      "constant mean curvature",
      "complete vertical graphs",
      "semi-riemannian warped products",
      "steady state spaces",
      "necessary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9602C"
    }
  }
}