{
  "abstract": "Let $X: M^n\\to \\mathbb S^{n+1}(1)$ be a closed minimal hypersurface with constant scalar curvature. Chern conjecture says that a closed minimal hypersurface with constant scalar curvature, $S\\geq 2n$ if $S>n$, where $S$ is the squared norm of the second fundamental form. As a partial result, Peng-Terng \\cite{pt1, pt2}, Yang-Cheng \\cite{yc1, yc2, yc3} and Suh-Yang \\cite{sy} obtained that if $S>n$, then $S>n+ \\dfrac{3}7n$. Recently, Chen \\cite{c} has proved $S>n+\\frac{26}{59}n$ if $S>n$. Since resolving Chern conjecture is a hard problem, as a midway for resolving Chern conjecture, one wants to prove $S>n+\\frac12 n$ if $S>n$. In this paper, we give a positive solution for this midway problem. We should remark that our topological condition is complete which is weaker than closed in Chen \\cite{c}.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.05276",
  "author_total": 4,
  "authors": [
    {
      "name": "Qing-Ming Cheng"
    },
    {
      "name": "Fengjiang Li"
    },
    {
      "name": "Guoxin Wei"
    },
    {
      "name": "Jiabin Yin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5k599q5nec0bg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.05276",
  "fulltext_url": null,
  "id": "5k599q5nec0bg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.05276",
  "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": "W7220692458",
  "pdf_url": "https://arxiv.org/pdf/2610.05276",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5k599q5nec0bg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.05276",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.05276"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "An improved result on Chern conjecture",
  "title_text": "An improved result on Chern conjecture",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/5k599q5nec0bg",
  "venue": "arXiv",
  "versions": []
}