{
  "abstract": "We consider isometric $\\mathbb{Z}_{p}$-torus actions on closed, positively curved manifolds, obtaining a homotopy classification result. This allows us to strengthen on the improvement of the $3n/8$ half-maximal symmetry rank result of Fang-Rong and Ghazawneh given in Theorem B and Corollary C in the work of the author and Searle. Along the way, we generalize a sphere-embedding construction of Wilking from the binary case to arbitrary primes in Theorem C, which is a geometric construction of independent interest.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.00483",
  "author_total": 1,
  "authors": [
    {
      "name": "Muhammad Abdullah"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cv8v8vjm6kzh6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.00483",
  "fulltext_url": null,
  "id": "cv8v8vjm6kzh6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.00483",
  "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"
    ]
  ],
  "openalex": "W7206161488",
  "pdf_url": "https://arxiv.org/pdf/2609.00483",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cv8v8vjm6kzh6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:04Z",
      "native_id": "2609.00483",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.00483"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "On Embedding Hamming Spheres with Applications to Positive Curvature",
  "title_text": "On Embedding Hamming Spheres with Applications to Positive Curvature",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:04Z",
  "url": "https://research.draconitic.com/paper/cv8v8vjm6kzh6",
  "venue": "arXiv",
  "versions": []
}