{
  "id": "2008.07490",
  "version": "v1",
  "published": "2020-08-17T17:31:58.000Z",
  "updated": "2020-08-17T17:31:58.000Z",
  "title": "Inverse Mean Curvature Flow of Rotationally Symmetric Hypersurfaces",
  "authors": [
    "Brian Harvie"
  ],
  "comment": "28 pages, 5 figures",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "Given a non-star-shaped $H>0$ rotationally symmetric hypersurface $N_{0} \\subset \\mathbb{R}^{n+1}$ with a sufficiently long, thick neck, we prove that the corresponding solution $N_{t}$ of Inverse Mean Curvature Flow exists for all time and homothetically converges to a round sphere at large times.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-17T17:31:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inverse mean curvature flow",
      "rotationally symmetric hypersurface",
      "large times",
      "round sphere",
      "thick neck"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}