{
  "abstract": "We prove that a complete, two-sided, stable capillary minimal hypersurface in $\\R^4_+$ is flat provided its contact angle $θ$ satisfies $|\\cotθ|<κ_*$, where $κ_*=4Γ(3/4)^2/Γ(1/4)^2\\approx 0.45$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.24251",
  "author_total": 3,
  "authors": [
    {
      "name": "Jia Li"
    },
    {
      "name": "Chenghang Lu"
    },
    {
      "name": "Chao Xia"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/24ct8b1mqedxp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24251",
  "fulltext_url": null,
  "id": "24ct8b1mqedxp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.24251",
  "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": "W7214043702",
  "pdf_url": "https://arxiv.org/pdf/2609.24251",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/24ct8b1mqedxp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.24251",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24251"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Stable Capillary Minimal Hypersurfaces in $\\R^4_+$",
  "title_text": "Stable Capillary Minimal Hypersurfaces in R^4_+",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/24ct8b1mqedxp",
  "venue": "arXiv",
  "versions": []
}