{
  "id": "2406.17179",
  "version": "v1",
  "published": "2024-06-24T23:35:09.000Z",
  "updated": "2024-06-24T23:35:09.000Z",
  "title": "A rigidity result for ancient Ricci flows",
  "authors": [
    "Qi S. Zhang"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "Using a size condition of the sharp log Sobolev functional (log entropy) near infinity only, we prove a rigidity result for ancient Ricci flows without sign condition on the curvatures. The result is also related to the problem of identifying type II ancient Ricci flows and their backward limits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-24T23:35:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J35"
    ],
    "keywords": [
      "ancient ricci flows",
      "rigidity result",
      "sharp log sobolev functional",
      "sign condition",
      "log entropy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}