{
  "id": "1412.3259",
  "version": "v2",
  "published": "2014-12-10T11:12:37.000Z",
  "updated": "2015-04-09T22:30:35.000Z",
  "title": "Minimality of the horocycle flow on foliations by hyperbolic surfaces with non-trivial topology",
  "authors": [
    "Fernando Alcalde",
    "Françoise Dal'Bo",
    "Matilde Martínez",
    "Alberto Verjovsky"
  ],
  "comment": "This result was presented by Fernando Alcalde at the conference Foliations 2014, that took place in Madrid, Spain, in September 2014",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider a minimal compact lamination by hyperbolic surfaces. We prove that if it admits a leaf whose holonomy covering is not topologically trivial, then the horocycle flow on its unitary tangent bundle is minimal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-10T11:12:37.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-04-09T22:30:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D40",
      "37A17",
      "58J65"
    ],
    "keywords": [
      "hyperbolic surfaces",
      "horocycle flow",
      "non-trivial topology",
      "foliations",
      "minimality"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.3259A"
    }
  }
}