{
  "id": "1907.09156",
  "version": "v1",
  "published": "2019-07-22T06:57:54.000Z",
  "updated": "2019-07-22T06:57:54.000Z",
  "title": "On the topology of constant mean curvature surfaces in H2 X R with boundary in a plane",
  "authors": [
    "Vlad Moraru",
    "Barbara Nelli"
  ],
  "comment": "7 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We show that surfaces with constant mean curvature closed to 1/2 in H2 X R and having boundary with curvature greater than one, contained in a horizontal section P of H2 X R are topological disks, provided they are contained in one of the two halfspaces determined by P. This is the analogue in H2 X R of a result in R3 by A. Ros and H. Rosenberg [13, Theorem 2].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-22T06:57:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A10",
      "53C42"
    ],
    "keywords": [
      "constant mean curvature surfaces",
      "curvature greater",
      "horizontal section",
      "topological disks",
      "halfspaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}