{
  "abstract": "We show that the cylindrical tangent cone $C\\times \\mathbf{R}$ C × R for an area-minimizing hypersurface is unique, where $C$ C is the Simons cone $C_{S}= C(S^{3}\\times S^{3})$ C S = C ( S 3 × S 3 ) . Previously Simon proved a uniqueness result for cylindrical tangent cones that applies to a large class of cones $C$ C , however not to the Simons cone. The main new difficulty is that the cylindrical cone $C_{S}\\times \\mathbf{R}$ C S × R is not integrable, and we need to develop a suitable replacement for Simon’s infinite dimensional Łojasiewicz inequality in the setting of tangent cones with non-isolated singularities.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Gábor Székelyhidi",
      "orcid": "0000-0001-6182-9195"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0za7127kcavjh.bib",
  "cited_by": 21,
  "doi": "10.1007/s00222-026-01445-1",
  "fulltext_url": null,
  "id": "0za7127kcavjh",
  "issns": [
    "0020-9910",
    "1432-1297"
  ],
  "landing_url": "https://doi.org/10.1007/s00222-026-01445-1",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
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  "openalex": "W3107748084",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/s00222-026-01445-1.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-21",
  "publisher": "Springer Science+Business Media",
  "ris": "https://research.draconitic.com/paper/0za7127kcavjh.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T13:20:59Z",
      "native_id": "W3107748084",
      "source": "openalex",
      "url": "https://doi.org/10.1007/s00222-026-01445-1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Geometric Analysis and Curvature Flows",
      "subfield": "general"
    }
  ],
  "title": "Uniqueness of certain cylindrical tangent cones",
  "title_text": "Uniqueness of certain cylindrical tangent cones",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T13:20:59Z",
  "url": "https://research.draconitic.com/paper/0za7127kcavjh",
  "venue": "Inventiones mathematicae",
  "versions": []
}