{
  "abstract": "The spinorial Sobolev inequality on the unit sphere states with equality if and only if 𝜓 ∈ ℳ , the set of all − 1 2 -Killing spinors and their conformal transformations. Our main result in this paper is to refine this inequality by establishing a stability inequality As a by-product of our argument, we show that elements in the set ℳ are not optimizers of another spinorial Sobolev inequality unlike expected by experts. They have in fact index 𝑛 + 1 and nullity 2 [ 𝑛 2 ] + 2 .",
  "abstract_shown": true,
  "affiliations": [
    "University of Freiburg, Inst. of Math., Ernst-Zermelo-Str. 1, D-79104 Freiburg, Germany",
    "Wuhan University, School of Mathematics and Statistics, 430072 Wuhan, China"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Guofang Wang"
    },
    {
      "affs": [
        0,
        1
      ],
      "name": "Mingwei Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ctv5h58q5fn8v.bib",
  "cited_by": 10,
  "doi": "10.1016/j.aim.2026.111318",
  "fulltext_url": null,
  "id": "ctv5h58q5fn8v",
  "issns": [
    "0001-8708",
    "1090-2082"
  ],
  "landing_url": "https://doi.org/10.1016/j.aim.2026.111318",
  "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"
    ]
  ],
  "openalex": "W7221174527",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": "Elsevier BV",
  "ris": "https://research.draconitic.com/paper/ctv5h58q5fn8v.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T13:20:42Z",
      "native_id": "W7221174527",
      "source": "openalex",
      "url": "https://doi.org/10.1016/j.aim.2026.111318"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Geometric Analysis and Curvature Flows",
      "subfield": "general"
    }
  ],
  "title": "Stability of spinorial Sobolev inequalities on Sn",
  "title_text": "Stability of spinorial Sobolev inequalities on Sn",
  "type": "peer-reviewed",
  "updated_at": "2026-11-07T13:20:42Z",
  "url": "https://research.draconitic.com/paper/ctv5h58q5fn8v",
  "venue": "Advances in Mathematics",
  "versions": []
}