{
  "abstract": "We formulate and prove a simple criterion for the sphericity of a CR manifold (that is, for its equivalence to its model surface). We discuss the differences between the general case, in which the model surface is weighted homogeneous of arbitrary degree, and the case of Levi-nondegenerate manifolds, whose model surface is quadratic.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.31385",
  "author_total": 1,
  "authors": [
    {
      "name": "M. A. Stepanova"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9xe2x665wj4jh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.31385",
  "fulltext_url": null,
  "id": "9xe2x665wj4jh",
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  "landing_url": "https://arxiv.org/abs/2609.31385",
  "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.CV"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7214638924",
  "pdf_url": "https://arxiv.org/pdf/2609.31385",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9xe2x665wj4jh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:57Z",
      "native_id": "2609.31385",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.31385"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "A Criterion for the Sphericity of a CR Manifold",
  "title_text": "A Criterion for the Sphericity of a CR Manifold",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/9xe2x665wj4jh",
  "venue": "arXiv",
  "versions": []
}