{
  "id": "2001.09380",
  "version": "v1",
  "published": "2020-01-26T00:50:22.000Z",
  "updated": "2020-01-26T00:50:22.000Z",
  "title": "Asymptotic Plateau Problem for Two Contours",
  "authors": [
    "Biao Wang"
  ],
  "comment": "26 pages, 4 figures",
  "categories": [
    "math.DG",
    "math.GT"
  ],
  "abstract": "For two disjoint rectifiable star-shaped Jordan curves (including round circles) in the asymptotic boundary of hyperbolic 3-space, if the distance (see Definition 1.8) between these two Jordan curves are bounded from above by some constant, then there exists an annulus-type area minimizing (or equivalently least area) minimal surface asymptotic to these two Jordan curves. The main results of this paper are Theorem 1.7 and Theorem 1.11.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-26T00:50:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A10",
      "57M05"
    ],
    "keywords": [
      "asymptotic plateau problem",
      "disjoint rectifiable star-shaped jordan curves",
      "minimal surface asymptotic",
      "main results",
      "round circles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}