{
  "id": "1903.07191",
  "version": "v1",
  "published": "2019-03-17T22:43:53.000Z",
  "updated": "2019-03-17T22:43:53.000Z",
  "title": "A-Foliations of codimension two on compact simply-connected manifolds",
  "authors": [
    "Diego Corro"
  ],
  "comment": "26 pages, 4 figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "We show that a singular Riemannian foliation of codimension $2$ on a compact simply-connected Riemannian $(n + 2)$-manifold, with regular leaves homeomorphic to the $n$-torus, is given by a smooth effective $n$-torus action.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-17T22:43:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C12",
      "57R30",
      "53C24"
    ],
    "keywords": [
      "compact simply-connected manifolds",
      "codimension",
      "a-foliations",
      "singular riemannian foliation",
      "regular leaves homeomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}