{
  "id": "1212.6445",
  "version": "v1",
  "published": "2012-12-28T01:02:31.000Z",
  "updated": "2012-12-28T01:02:31.000Z",
  "title": "On the manifold of closed hypersurfaces in R^n",
  "authors": [
    "Jan Pruess",
    "Gieri Simonett"
  ],
  "comment": "21 pages. To appear",
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "Several results from differential geometry of hypersurfaces in R^n are derived to form a tool box for the direct mapping method. The latter technique has been widely employed to solve problems with moving interfaces, and to study the asymptotics of the induced semiflows.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-28T01:02:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "closed hypersurfaces",
      "differential geometry",
      "tool box",
      "direct mapping method",
      "moving interfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.6445P"
    }
  }
}