{
  "id": "1503.02604",
  "version": "v1",
  "published": "2015-03-09T18:30:24.000Z",
  "updated": "2015-03-09T18:30:24.000Z",
  "title": "Minimal surfaces in a certain 3-dimensional homogeneous spacetime",
  "authors": [
    "Sungwook Lee"
  ],
  "comment": "17 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "The 2-parameter family of certain homogeneous Lorentzian 3-manifolds which includes Minkowski 3-space, de Sitter 3-space, and Minkowski motion group is considered. Each homogeneous Lorentzian 3-manifold in the 2-parameter family has a solvable Lie group structure with left invariant metric. A generalized integral representation formula which is the unificaton of representation formulas for minimal timelike surfaces in those homogeneous Lorentzian 3-manifolds is obtained. The normal Gau{\\ss} map of minimal timelike surfaces in those homogeneous Lorentzian 3-manifolds and its harmonicity are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-09T18:30:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A10",
      "53C30",
      "53C42",
      "53C50"
    ],
    "keywords": [
      "minimal surfaces",
      "homogeneous spacetime",
      "homogeneous lorentzian",
      "minimal timelike surfaces",
      "generalized integral representation formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}