{
  "id": "2112.04053",
  "version": "v2",
  "published": "2021-12-08T00:23:05.000Z",
  "updated": "2022-06-13T22:01:51.000Z",
  "title": "Uniform foliations with Reeb components",
  "authors": [
    "Joaquín Lema"
  ],
  "comment": "13 pages, 7 figures; minor corrections suggested by the referee",
  "categories": [
    "math.GT"
  ],
  "abstract": "A foliation on a compact manifold is uniform if each pair of leaves of the induced foliation on the universal cover are at finite Hausdorff distance from each other. We study uniform foliations with Reeb components. We give examples of such foliations on a family of closed $3-$manifolds with infinite fundamental group. Furthermore, we prove some results concerning the behavior of a uniform foliation with Reeb components on general $3-$manifolds.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-06-13T22:01:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reeb components",
      "infinite fundamental group",
      "study uniform foliations",
      "finite hausdorff distance",
      "universal cover"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}