{
  "abstract": "In this paper, we first classify complete four-dimensional shrinkers under a pinching condition on the $2$nd-Ricci curvature. We then classify closed four-dimensional shrinkers with (weighted) integral parameter-pinching of the half Weyl curvature under several pinching assumptions on the biorthogonal curvature. Finally, we establish a Hitchin-Thorpe type inequality for closed non-trivial four-dimensional shrinkers under some assumptions on the half Weyl curvature and the biorthogonal curvature.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.11040",
  "author_total": 2,
  "authors": [
    {
      "name": "Xiaodong Cao"
    },
    {
      "name": "Jia-Yong Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5bcw02bfbhcfp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.11040",
  "fulltext_url": null,
  "id": "5bcw02bfbhcfp",
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  "landing_url": "https://arxiv.org/abs/2610.11040",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
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  ],
  "openalex": "W7221067229",
  "pdf_url": "https://arxiv.org/pdf/2610.11040",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5bcw02bfbhcfp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:58Z",
      "native_id": "2610.11040",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.11040"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Four-dimensional shrinkers with pinched curvatures",
  "title_text": "Four-dimensional shrinkers with pinched curvatures",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:58Z",
  "url": "https://research.draconitic.com/paper/5bcw02bfbhcfp",
  "venue": "arXiv",
  "versions": []
}