{
  "id": "1010.2429",
  "version": "v3",
  "published": "2010-10-12T15:55:34.000Z",
  "updated": "2010-10-25T11:33:25.000Z",
  "title": "Directed immersions of closed manifolds",
  "authors": [
    "Mohammad Ghomi"
  ],
  "comment": "Minor revisions over the last draft",
  "categories": [
    "math.DG",
    "math.GT"
  ],
  "abstract": "Given any finite subset X of the sphere S^n, n>1, which includes no pairs of antipodal points, we explicitly construct smoothly immersed closed orientable hypersurfaces in Euclidean space R^{n+1} whose Gauss map misses X. In particular, this answers a question of M. Gromov.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-10-25T11:33:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A07",
      "53C42",
      "57R42",
      "58K15"
    ],
    "keywords": [
      "closed manifolds",
      "directed immersions",
      "immersed closed orientable hypersurfaces",
      "gauss map misses"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.2429G"
    }
  }
}