{
  "id": "1009.0319",
  "version": "v2",
  "published": "2010-09-02T02:44:40.000Z",
  "updated": "2012-10-02T19:52:47.000Z",
  "title": "The Isoperimetric Profile of a Noncompact Riemannian Manifold for Small Volumes",
  "authors": [
    "Stefano Nardulli"
  ],
  "comment": "33 pages, improved version after the referee comments, (Submitted)",
  "categories": [
    "math.DG"
  ],
  "abstract": "In the main theorem of this paper we treat the problem of existence of minimizers of the isoperimetric problem under the assumption of small volumes. Applications of the main theorem to asymptotic expansions of the isoperimetric problem are given.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-02T19:52:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C21",
      "58J60",
      "58-99",
      "28-99",
      "49-99"
    ],
    "keywords": [
      "noncompact riemannian manifold",
      "small volumes",
      "isoperimetric profile",
      "main theorem",
      "isoperimetric problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.0319N"
    }
  }
}