{
  "id": "1402.0843",
  "version": "v1",
  "published": "2014-02-04T19:42:57.000Z",
  "updated": "2014-02-04T19:42:57.000Z",
  "title": "Monotone quantities involving a weighted $σ_k$ integral along inverse curvature flows",
  "authors": [
    "Kwok-Kun Kwong",
    "Pengzi Miao"
  ],
  "comment": "11 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We give a family of monotone quantities along smooth solutions to the inverse curvature flows in Euclidean spaces. We also derive a related geometric inequality for closed hypersurfaces with positive k-th mean curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-04T19:42:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44",
      "53A07"
    ],
    "keywords": [
      "inverse curvature flows",
      "monotone quantities",
      "positive k-th mean curvature",
      "smooth solutions",
      "euclidean spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.0843K"
    }
  }
}