{
  "id": "1310.2652",
  "version": "v3",
  "published": "2013-10-09T22:56:49.000Z",
  "updated": "2015-02-26T20:23:26.000Z",
  "title": "Umbilical surfaces of products of space forms",
  "authors": [
    "Jaime Orjuela",
    "Ruy Tojeiro"
  ],
  "comment": "19 pages. To appear in Tohoku Mathematical Journal",
  "categories": [
    "math.DG"
  ],
  "abstract": "We give a complete classification of umbilical surfaces of arbitrary codimension of a product $Q^{n_1}_{k_1}\\times Q^{n_2}_{k_2}$ of space forms whose curvatures satisfy $k_1 + k_2 \\not= 0$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-16T19:36:44.000Z",
      "comment": "15 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-02-26T20:23:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C40",
      "53C42",
      "53B25"
    ],
    "keywords": [
      "space forms",
      "umbilical surfaces",
      "complete classification",
      "arbitrary codimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.2652O"
    }
  }
}