{
  "id": "1205.1356",
  "version": "v1",
  "published": "2012-05-07T11:58:24.000Z",
  "updated": "2012-05-07T11:58:24.000Z",
  "title": "On extremal function of a modulus of a foliation",
  "authors": [
    "Malgorzata Ciska"
  ],
  "comment": "11 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We investigate the properties of a modulus of a foliation on a Riemannian manifold. We give necessary and sufficient conditions for the existence of an extremal function and state some of its properties. We obtain the integral formula which, in a sense, combines the integral over the manifold with integral over the leaves. We state the relation between an extremal function and the geometry of distribution orthogonal to a foliation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-07T11:58:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C12",
      "58C35"
    ],
    "keywords": [
      "extremal function",
      "distribution orthogonal",
      "sufficient conditions",
      "properties",
      "riemannian manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.1356C"
    }
  }
}