{
  "abstract": "We establish a refined singularity estimate for nonnegative n-superharmonic functions. For complete noncompact locally conformally flat manifolds with nonnegative Ricci curvature, we analytically characterize the volume growth, verify Yau's conjecture on the Cohn-Vossen inequality, and prove a sharp gap theorem that removes all auxiliary assumptions from earlier works.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Shiguang Ma"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2p4e5218hk5db.bib",
  "cited_by": 12,
  "doi": "10.48550/arxiv.2606.13979",
  "fulltext_url": null,
  "id": "2p4e5218hk5db",
  "issns": [
    "2331-8422"
  ],
  "landing_url": "https://arxiv.org/abs/2606.13979",
  "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": "W7164811708",
  "pdf_url": "https://arxiv.org/pdf/2606.13979",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-11",
  "publisher": "Cornell University",
  "ris": "https://research.draconitic.com/paper/2p4e5218hk5db.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T13:20:42Z",
      "native_id": "W7164811708",
      "source": "openalex",
      "url": "https://arxiv.org/abs/2606.13979"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Geometric Analysis and Curvature Flows",
      "subfield": "general"
    }
  ],
  "title": "Cohn-Vossen theory for locally conformally flat manifolds",
  "title_text": "Cohn-Vossen theory for locally conformally flat manifolds",
  "type": "preprint",
  "updated_at": "2026-11-07T13:20:42Z",
  "url": "https://research.draconitic.com/paper/2p4e5218hk5db",
  "venue": "arXiv (Cornell University)",
  "versions": []
}