{
  "id": "math/9810157",
  "version": "v1",
  "published": "1998-10-28T10:09:59.000Z",
  "updated": "1998-10-28T10:09:59.000Z",
  "title": "Moebius geometry of surfaces of constant mean curvature 1 in hyperbolic space",
  "authors": [
    "Udo Hertrich-Jeromin",
    "Emilio Musso",
    "Lorenzo Nicolodi"
  ],
  "comment": "18 pages, plain TeX, 8 PostScript figures",
  "journal": "Ann. Global Anal. Appl. 19, 185-205 (2001)",
  "categories": [
    "math.DG"
  ],
  "abstract": "Various transformations of isothermic surfaces are discussed and their interrelations are analyzed. Applications to cmc-1 surfaces in hyperbolic space and their minimal cousins in Euclidean space are presented: the Umehara-Yamada perturbation, the classical and Bryant's Weierstrass type representations, and the duality for cmc-1 surfaces are interpreted in terms of transformations of isothermic surfaces. A new Weierstrass type representation is introduced and a Moebius geometric characterization of cmc-1 surfaces in hyperbolic space and minimal surfaces in Euclidean space is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-10-28T10:09:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "constant mean curvature",
      "hyperbolic space",
      "moebius geometry",
      "euclidean space",
      "isothermic surfaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "Plain TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math.....10157H"
    }
  }
}