{
  "id": "1305.5419",
  "version": "v1",
  "published": "2013-05-22T09:55:46.000Z",
  "updated": "2013-05-22T09:55:46.000Z",
  "title": "Space-like Surfaces in Minkowski Space $\\mathbb E^4_1$ with Pointwise 1-Type Gauss Map",
  "authors": [
    "Uğur Dursun",
    "Nurettin Cenk Turgay"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1302.2910 by other authors",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this work we firstly classify space-like surfaces in Minkowski space $\\mathbb E^4_1$, de-Sitter space $\\mathbb S^3_1$ and hyperbolic space $\\mathbb H^3$ with harmonic Gauss map. Then we give a characterization and classification of space-like surfaces with pointwise 1-type Gauss map of the first kind. We also give some explicit examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-22T09:55:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B25",
      "53C50"
    ],
    "keywords": [
      "minkowski space",
      "harmonic gauss map",
      "first kind",
      "de-sitter space",
      "explicit examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.5419D"
    }
  }
}