{
  "id": "math/0608726",
  "version": "v2",
  "published": "2006-08-29T18:34:40.000Z",
  "updated": "2006-08-30T14:20:55.000Z",
  "title": "Weierstrass representation for timelike minimal surfaces in Minkowski 3-space",
  "authors": [
    "Sungwook Lee"
  ],
  "comment": "16 pages, 8 figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "Using techniques of integrable systems, we study a Weierstrass representation formula for timelike surfaces with prescribed mean curvature in Minkowski 3-space. It is shown that timelike minimal surfaces are obtained by integrating a pair of Lorentz holomorphic and Lorentz antiholomorphic null curves in Minkowski 3-space. The relationship between timelike minimal surfaces and bosonic Nambu-Goto string worldsheets in spacetime is also discussed in the appendix.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-08-30T14:20:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A10",
      "53C42",
      "53C50",
      "53C80"
    ],
    "keywords": [
      "timelike minimal surfaces",
      "lorentz antiholomorphic null curves",
      "weierstrass representation formula",
      "bosonic nambu-goto string worldsheets",
      "lorentz holomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8726L"
    }
  }
}