{
  "id": "1512.07637",
  "version": "v1",
  "published": "2015-12-23T21:04:47.000Z",
  "updated": "2015-12-23T21:04:47.000Z",
  "title": "Constant mean curvature surfaces in $\\mathbb{H}^2\\times\\mathbb{R}$ with boundary in two parallel planes",
  "authors": [
    "Rodrigo Soares",
    "Patrícia Klaser",
    "Miriam Telichevesky"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "Given $H\\in [0,\\infty),$ some sufficient conditions for existence of CMC $H$ graphs with boundary in two parallel planes of $\\mathbb{H}^2\\times\\mathbb{R}$ are presented. Height estimates for outwards-oriented CMC surfaces (horo)cyllindrically bounded are also exhibited.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-23T21:04:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "constant mean curvature surfaces",
      "parallel planes",
      "sufficient conditions",
      "height estimates",
      "outwards-oriented cmc surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}