{
  "abstract": "We show that if an open smooth $6$-manifold $M^6$ is the interior of a compact, contractible manifold with boundary $X^6$, such that $π_3(X,\\partial X)=0$, and $M$ supports a complete metric with uniform positive BiRicci curvature and Ricci curvature bounded below, then $M$ is diffeomorphic to $\\mathbb{R}^6$. Additionally, we show that if an open smooth $n$-manifold $M^n$, $n\\in\\{6,7\\}$, is the interior of a compact, contractible manifold with boundary $X^n$, such that $π_3(X,\\partial X)=0$, and $M$ supports a complete metric with positive BiRicci curvature with at most $C$-quadratic decay at infinity for some $C>C_n$ and nonnegative Ricci curvature, then $M$ is diffeomorphic to $\\mathbb{R}^n$. Lastly, for each $n\\geq6$, we construct a compact, contractible Newman $n$-manifold, $N^n$, based on a presentation of the Higman group such that $π_i(N,\\partial N)=0$, $3\\leq i \\leq n-3$, and $\\mathrm{int}(N)$ admits a complete metric with uniform positive scalar curvature and Ricci curvature bounded below.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08686",
  "author_total": 1,
  "authors": [
    {
      "name": "Paul Sweeney Jr"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/69z9nhece6xsz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08686",
  "fulltext_url": null,
  "id": "69z9nhece6xsz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08686",
  "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": "W7220968414",
  "pdf_url": "https://arxiv.org/pdf/2610.08686",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/69z9nhece6xsz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2610.08686",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08686"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Topology of tame contractible $n$-manifolds, $n=6,7$, with Positive BiRicci Curvature and Ricci lower bounds",
  "title_text": "Topology of tame contractible n-manifolds, n=6,7, with Positive BiRicci Curvature and Ricci lower bounds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/69z9nhece6xsz",
  "venue": "arXiv",
  "versions": []
}