{
  "abstract": "We prove strong uniqueness of tangent flows at the first singular time of a closed Ricci flow when one tangent flow is generated by a complete smooth asymptotically conical Ricci shrinker. The modified flow converges to this shrinker in a fixed gauge, with quantitative estimates on expanding domains. The main ingredients are a Łojasiewicz-Simon inequality for Perelman's entropy, based on the global weighted divergence-free gauge constructed in the preceding paper, and estimates controlling the geometric radius under Ricci flow.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41345",
  "author_total": 3,
  "authors": [
    {
      "name": "Yu Li"
    },
    {
      "name": "Longhuan Yan"
    },
    {
      "name": "Wenjia Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4qa2z2xx23wr4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41345",
  "fulltext_url": null,
  "id": "4qa2z2xx23wr4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41345",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.41345",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4qa2z2xx23wr4.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.41345",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41345"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "On the geometry of asymptotically conical Ricci shrinkers (II): strong uniqueness",
  "title_text": "On the geometry of asymptotically conical Ricci shrinkers (II): strong uniqueness",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:52Z",
  "url": "https://research.draconitic.com/paper/4qa2z2xx23wr4",
  "venue": "arXiv",
  "versions": []
}