{
  "id": "2007.04437",
  "version": "v1",
  "published": "2020-07-08T21:05:39.000Z",
  "updated": "2020-07-08T21:05:39.000Z",
  "title": "A nonexistence result for CMC surfaces in hyperbolic 3-manifolds",
  "authors": [
    "William H. Meeks III",
    "Alvaro K. Ramos"
  ],
  "comment": "6 pages, 1 figure",
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove that a complete hyperbolic 3-manifold of finite volume does not admit a properly embedded noncompact surface of finite topology with constant mean curvature greater than or equal to 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-08T21:05:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A10",
      "49Q05",
      "53C42"
    ],
    "keywords": [
      "nonexistence result",
      "cmc surfaces",
      "constant mean curvature greater",
      "finite topology",
      "properly embedded noncompact surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}