{
  "abstract": "A $λ$-self-expander $x: M^n\\to \\mathbb{R}^{n+1}$ is the solution of the isoperimetric problem of weight $e^{\\frac{|x|^2}{4}}$. In this paper, we prove that the closed $λ$-self-expander is a round sphere centered at the origin under some curvature conditions. These curvature conditions mainly include the scalar curvature, the mean curvature, and the squared norm of the second fundamental form.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.28307",
  "author_total": 2,
  "authors": [
    {
      "name": "Tongzhu Li"
    },
    {
      "name": "Mengdan Qi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1zjtbh2penqrz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28307",
  "fulltext_url": null,
  "id": "1zjtbh2penqrz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.28307",
  "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",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7204972589",
  "pdf_url": "https://arxiv.org/pdf/2608.28307",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1zjtbh2penqrz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "2608.28307",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28307"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Rigidity of closed $λ$-self-expanders",
  "title_text": "Rigidity of closed λ-self-expanders",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/1zjtbh2penqrz",
  "venue": "arXiv",
  "versions": []
}