{
  "abstract": "Let $H>0$ and $κ,τ\\in\\mathbb{R}$ satisfy $4H^2+κ>0$ and $κ\\leq 4τ^2$. We prove that an immersed stable disk of constant mean curvature $H$ and circular boundary in the space $\\mathbb{E}(κ,τ)$ is a spherical cap of the canonical rotational $H$-sphere.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08342",
  "author_total": 1,
  "authors": [
    {
      "name": "Antonio Bueno"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/65sf5n27jjkdh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08342",
  "fulltext_url": null,
  "id": "65sf5n27jjkdh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08342",
  "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": "W7220967569",
  "pdf_url": "https://arxiv.org/pdf/2610.08342",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/65sf5n27jjkdh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.08342",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08342"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Stable constant mean curvature disks with circular boundary in homogeneous three-manifolds",
  "title_text": "Stable constant mean curvature disks with circular boundary in homogeneous three-manifolds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/65sf5n27jjkdh",
  "venue": "arXiv",
  "versions": []
}