{
  "abstract": "We prove that a contractible $3$-manifold admitting a complete Riemannian metric of nonnegative scalar curvature is diffeomorphic to $\\R^3$. We also prove that, if the interior of a compact handlebody of genus $γ$ admits such a metric, then $γ\\leq1$. This answers two open questions posed by Wang and Gromov, respectively.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.25015",
  "author_total": 2,
  "authors": [
    {
      "name": "Jiangcheng You"
    },
    {
      "name": "Heng Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/72ws7gxw4d1g4.bib",
  "cited_by": 1,
  "doi": "10.48550/arxiv.2607.25015",
  "fulltext_url": null,
  "id": "72ws7gxw4d1g4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.25015",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7171693132",
  "pdf_url": "https://arxiv.org/pdf/2607.25015",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/72ws7gxw4d1g4.ris",
  "sources": [
    {
      "first_seen": "2026-11-10T06:21:07Z",
      "native_id": "2607.25015",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.25015"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature",
  "title_text": "Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature",
  "type": "preprint",
  "updated_at": "2026-11-10T06:21:07Z",
  "url": "https://research.draconitic.com/paper/72ws7gxw4d1g4",
  "venue": "arXiv",
  "versions": []
}