{
  "abstract": "A complete one-ended three-manifold with strictly positive Ricci curvature is constructed such that $$ \\limsup_{R\\to\\infty}\\frac1R\\int_{B(p,R)} Scal\\,dV=+\\infty. $$ The construction combines an explicit toric lens carrying a large scalar-curvature integral with a three-dimensional angular pair of pants and an adaptive sequence of hybrid blocks.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.06533",
  "author_total": 2,
  "authors": [
    {
      "name": "Tianze Hao"
    },
    {
      "name": "Jintian Zhu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fjvhxjz77tahc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.06533",
  "fulltext_url": null,
  "id": "fjvhxjz77tahc",
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  "landing_url": "https://arxiv.org/abs/2609.06533",
  "language": null,
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  "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": "W7212071373",
  "pdf_url": "https://arxiv.org/pdf/2609.06533",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fjvhxjz77tahc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.06533",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.06533"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A Counterexample to Yau's Conjectured Asymptotic Scalar-Curvature Integral Bound",
  "title_text": "A Counterexample to Yau's Conjectured Asymptotic Scalar-Curvature Integral Bound",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/fjvhxjz77tahc",
  "venue": "arXiv",
  "versions": []
}