{
  "abstract": "We establish the rigidity of the generalized cylinder N^{n} \\times \\mathbb{R}^{m-n} , or a quotient thereof, in the space of Ricci shrinkers equipped with the pointed Gromov–Hausdorff topology. Here, N is a stable Einstein manifold that has an obstruction of order 3 . The proof is based on a quantitative characterization of the rigidity of compact Ricci shrinkers, a rigidity inequality of mixed orders on generalized cylinders, and the method of contraction and extension. As an application, we prove the uniqueness of the tangent flow for general compact Ricci flows under the assumption that one tangent flow is a generalized cylinder.",
  "abstract_shown": true,
  "affiliations": [
    "Hefei National Laboratory, P. R. China",
    "University of Science and Technology of China, Hefei",
    "University of Science and Technology of China, Hefei, P. R. China"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Yu Li",
      "orcid": "0000-0003-3185-0836"
    },
    {
      "affs": [
        2
      ],
      "name": "Wenjia Zhang",
      "orcid": "0000-0002-7211-4205"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/36npvdt3fac2x.bib",
  "cited_by": 11,
  "doi": "10.4171/jems/1828",
  "fulltext_url": null,
  "id": "36npvdt3fac2x",
  "issns": [
    "1435-9855",
    "1435-9863"
  ],
  "landing_url": "https://doi.org/10.4171/jems/1828",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
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  "openalex": "W4376167395",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": "European Mathematical Society",
  "ris": "https://research.draconitic.com/paper/36npvdt3fac2x.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T13:20:42Z",
      "native_id": "W4376167395",
      "source": "openalex",
      "url": "https://doi.org/10.4171/jems/1828"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Geometric Analysis and Curvature Flows",
      "subfield": "general"
    }
  ],
  "title": "On the rigidity of Ricci shrinkers",
  "title_text": "On the rigidity of Ricci shrinkers",
  "type": "peer-reviewed",
  "updated_at": "2026-11-07T13:20:42Z",
  "url": "https://research.draconitic.com/paper/36npvdt3fac2x",
  "venue": "Journal of the European Mathematical Society",
  "versions": []
}