{
  "id": "2109.01687",
  "version": "v1",
  "published": "2021-09-03T18:00:23.000Z",
  "updated": "2021-09-03T18:00:23.000Z",
  "title": "Totally geodesic hyperbolic 3-manifolds in hyperbolic link complements of tori in $S^4$",
  "authors": [
    "Michelle Chu",
    "Alan W. Reid"
  ],
  "comment": "14 pages. arXiv admin note: text overlap with arXiv:2005.11256",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper we prove that certain hyperbolic link complements of $2$-tori in $S^4$ do not contain closed embedded totally geodesic hyperbolic $3$-manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-03T18:00:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperbolic link complements",
      "contain closed embedded totally geodesic",
      "closed embedded totally geodesic hyperbolic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}