{
  "id": "2205.00927",
  "version": "v1",
  "published": "2022-05-02T14:11:45.000Z",
  "updated": "2022-05-02T14:11:45.000Z",
  "title": "Self-similar solutions to flows by negative powers of curvature",
  "authors": [
    "Shanze Gao"
  ],
  "comment": "7 pages, comments are welcome",
  "categories": [
    "math.DG"
  ],
  "abstract": "We consider self-similar solutions to curvature flows in some warped product manifolds, which corresponding speed function is of negative power and satisfies suitable conditions. For all negative powers, we prove such self-similar solutions must be a slice in warped product manifolds if the hypersurface is closed and strictly convex.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-02T14:11:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-similar solutions",
      "negative power",
      "warped product manifolds",
      "curvature flows",
      "satisfies suitable conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}