{
  "id": "1503.06305",
  "version": "v1",
  "published": "2015-03-21T14:40:15.000Z",
  "updated": "2015-03-21T14:40:15.000Z",
  "title": "Maximal spacelike surfaces in a certain homogeneous Lorentzian 3-manifold",
  "authors": [
    "Sungwook Lee"
  ],
  "comment": "14 pages. arXiv admin note: text overlap with arXiv:1503.02604",
  "categories": [
    "math.DG"
  ],
  "abstract": "The 2-parameter family of certain homogeneous Lorentzian 3-manifolds which includes Minkowski 3-space and anti-de Sitter 3-space 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 unification of representation formulas for maximal spacelike surfaces in those homogeneous Lorentzian 3-manifolds is obtained. The normal Gau{\\ss} map of maximal spacelike surfaces in those homogeneous Lorentzian 3-manifolds and its harmonicity are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-21T14:40:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A10",
      "53C30",
      "53C42",
      "53C50"
    ],
    "keywords": [
      "maximal spacelike surfaces",
      "homogeneous lorentzian",
      "solvable lie group structure",
      "generalized integral representation formula",
      "left invariant metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}