{
  "abstract": "We prove that a two-dimensional Almgren-minimizing set in three dimensions which is sufficiently close in Hausdorff distance to a tetrahedral cone contains an interior tetrahedral point. As a consequence, we obtain quantitative regularity near tetrahedral cones and we complete the classification of entire Almgren-minimizers in $\\mathbb{R}^3$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.24362",
  "author_total": 2,
  "authors": [
    {
      "name": "Michele Caselli"
    },
    {
      "name": "Zachary Lihn"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8qc25jewta9e5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24362",
  "fulltext_url": null,
  "id": "8qc25jewta9e5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.24362",
  "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": "W7223019874",
  "pdf_url": "https://arxiv.org/pdf/2610.24362",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8qc25jewta9e5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.24362",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24362"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Tetrahedral points and classification of Almgren-minimizing sets in $\\mathbb{R}^3$",
  "title_text": "Tetrahedral points and classification of Almgren-minimizing sets in ℝ^3",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/8qc25jewta9e5",
  "venue": "arXiv",
  "versions": []
}