{
  "id": "2402.04633",
  "version": "v1",
  "published": "2024-02-07T07:29:59.000Z",
  "updated": "2024-02-07T07:29:59.000Z",
  "title": "A stability result for Riemannian foliations",
  "authors": [
    "Stephane Geudens",
    "Florian Zeiser"
  ],
  "comment": "24 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We show that a Riemannian foliation F on a compact manifold M is stable, provided that the cohomology group H^1(F,NF) vanishes. Stability means that any foliation on M close enough to F is conjugate to F by means of a diffeomorphism.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-02-07T07:29:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C12",
      "57R30"
    ],
    "keywords": [
      "riemannian foliation",
      "stability result",
      "compact manifold",
      "cohomology group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}