{
  "id": "0804.4198",
  "version": "v1",
  "published": "2008-04-26T02:33:22.000Z",
  "updated": "2008-04-26T02:33:22.000Z",
  "title": "Mean curvature one surfaces in hyperbolic space, and their relationship to minimal surfaces in Euclidean space",
  "authors": [
    "Wayne Rossman"
  ],
  "journal": "J. Geom. Anal. 11(4) (2001), 669-692",
  "categories": [
    "math.DG"
  ],
  "abstract": "We describe local similarities and global differences between minimal surfaces in Euclidean 3-space and constant mean curvature 1 surfaces in hyperbolic 3-space. We also describe how to solve global period problems for constant mean curvature 1 surfaces in hyperbolic 3-space, and we give an overview of recent results on these surfaces. We include computer graphics of a number of examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-26T02:33:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A10",
      "53A35",
      "53A42"
    ],
    "keywords": [
      "minimal surfaces",
      "hyperbolic space",
      "euclidean space",
      "constant mean curvature",
      "relationship"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.4198R"
    }
  }
}