{
  "abstract": "We prove a maximal diameter rigidity theorem for closed 3-dimensional Riemannian manifolds under a spectral lower bound for the Ricci curvature. We show that if $0<γ<2$, $K>0$ and $λ_1(-γΔ+\\operatorname{Ric})\\geq 2K$, then the optimal bound $\\operatorname{diam}(M,g)\\leq\\fracπ{\\sqrt{K}}$ is attained if and only if (M,g) is isometric to the round 3-sphere of constant sectional curvature $K$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20485",
  "author_total": 1,
  "authors": [
    {
      "name": "Carolina Ruviaro"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9q7591c9w2yph.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20485",
  "fulltext_url": null,
  "id": "9q7591c9w2yph",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20485",
  "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"
    ]
  ],
  "openalex": "W7222294297",
  "pdf_url": "https://arxiv.org/pdf/2610.20485",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9q7591c9w2yph.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2610.20485",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20485"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Cheng's Theorem in the Spectral Setting",
  "title_text": "Cheng's Theorem in the Spectral Setting",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/9q7591c9w2yph",
  "venue": "arXiv",
  "versions": []
}