{
  "abstract": "We prove an analogue of Min-Oo's conjecture for sufficiently small spherical caps in the unit round sphere. For every dimension $n\\ge3$, there exists $r_*(n)>0$ such that the following holds for every round cap of radius $0<r\\le r_*(n)$: any smooth compact connected oriented Riemannian fill-in with the same intrinsic boundary metric and with scalar curvature and outward boundary mean curvature at least those of the cap is isometric to the cap.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18413",
  "author_total": 2,
  "authors": [
    {
      "name": "Yiyue Zhang"
    },
    {
      "name": "Bowen Zhao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6cx9djrvqd8wd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18413",
  "fulltext_url": null,
  "id": "6cx9djrvqd8wd",
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  "landing_url": "https://arxiv.org/abs/2610.18413",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7221819144",
  "pdf_url": "https://arxiv.org/pdf/2610.18413",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6cx9djrvqd8wd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:20Z",
      "native_id": "2610.18413",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18413"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Scalar curvature rigidity of small spherical caps with arbitrary fill-ins",
  "title_text": "Scalar curvature rigidity of small spherical caps with arbitrary fill-ins",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:20Z",
  "url": "https://research.draconitic.com/paper/6cx9djrvqd8wd",
  "venue": "arXiv",
  "versions": []
}