{
  "id": "1512.04760",
  "version": "v1",
  "published": "2015-12-15T12:36:26.000Z",
  "updated": "2015-12-15T12:36:26.000Z",
  "title": "Complete hypersurfaces in Euclidean spaces with strong finite total curvature",
  "authors": [
    "Manfredo do Carmo",
    "Maria Fernanda Elbert"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove that strong finite total curvature complete hypersurfaces of (n+1)-euclidean space are proper and diffeomorphic to a compact manifold minus finitely many points. With an additional condition, we also prove that the Gauss map of such hypersurfaces extends continuously to the punctures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-15T12:36:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R42",
      "53C42"
    ],
    "keywords": [
      "euclidean spaces",
      "strong finite total curvature complete",
      "finite total curvature complete hypersurfaces",
      "compact manifold minus",
      "hypersurfaces extends"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}