{
  "abstract": "In this paper, we investigate the classes of \\lq\\lq unicorns\" of general $(α,β)$-metric types, namely, Landsberg general $(α,β)$-metrics that are non-Berwaldian. We provide explicit solutions for these metrics, including several new classes. Furthermore, we identify and exclude the cases that yield degenerate metrics to guarantee the geometric validity of the established solutions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37241",
  "author_total": 1,
  "authors": [
    {
      "name": "Salah G. Elgendi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4vqk97xfm660v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37241",
  "fulltext_url": null,
  "id": "4vqk97xfm660v",
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  "landing_url": "https://arxiv.org/abs/2610.37241",
  "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",
      "3103|Advanced Differential Geometry Research"
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  ],
  "openalex": "W7224136887",
  "pdf_url": "https://arxiv.org/pdf/2610.37241",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4vqk97xfm660v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.37241",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37241"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "On Landsberg Unicorns of General $(α,β)$-Type",
  "title_text": "On Landsberg Unicorns of General (α,β)-Type",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/4vqk97xfm660v",
  "venue": "arXiv",
  "versions": []
}