{
  "id": "math/0307273",
  "version": "v1",
  "published": "2003-07-20T04:12:08.000Z",
  "updated": "2003-07-20T04:12:08.000Z",
  "title": "Weierstraß type representation of timelike surfaces with constant mean curvature",
  "authors": [
    "Josef Dorfmeister",
    "Junichi Inoguchi",
    "Magdalena Toda"
  ],
  "journal": "Differential Geometry and Integrable Systems, Contemporary Mathematics AMS, vol.308, 2002",
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We derive a correspondence between (Lorentzian) harmonic maps into the pseudosphere $S_1^2$, with appropriate regularity conditions, and certain connection 1-forms. To these harmonic maps, we associate a representation of type Weierstrass, and we apply it to construct timelike surfaces with constant mean curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-07-20T04:12:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A10",
      "58E20"
    ],
    "keywords": [
      "constant mean curvature",
      "type representation",
      "harmonic maps",
      "appropriate regularity conditions",
      "construct timelike surfaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......7273D"
    }
  }
}