{
  "abstract": "For a Ricci non-negative non-parabolic manifold $(M^{n\\ge3},g)$, assuming the minimal normalized Green function admits the asymptotic expansion $G=r^{2-n}+H_p+O_1(r)$, we prove the scaling invariant defect $H_pR^{n-2}$ controls the geometry of the geodesic ball quantitatively, $\\frac{1}{R}d_{GH}(B_p(R),B_0^{\\mathbb{R}^n}(R))\\le C_n \\left(H_p R^{n-2}\\right)^{\\frac{1}{88(n+1)(4n+1)}}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36998",
  "author_total": 3,
  "authors": [
    {
      "name": "Zhelei Huang"
    },
    {
      "name": "Bijia Luo"
    },
    {
      "name": "Jie Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/795414fj89m8s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36998",
  "fulltext_url": null,
  "id": "795414fj89m8s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36998",
  "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": "W7224105947",
  "pdf_url": "https://arxiv.org/pdf/2610.36998",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/795414fj89m8s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.36998",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36998"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Quantitative Rigidity of Ricci Nonnegative Manifolds via the Regular Green Constant",
  "title_text": "Quantitative Rigidity of Ricci Nonnegative Manifolds via the Regular Green Constant",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/795414fj89m8s",
  "venue": "arXiv",
  "versions": []
}