{
  "abstract": "Let $(M^m,g)$, $m\\geq2$, be a closed connected Riemannian manifold with $\\secg_g\\leq-1$, and let $(X,g_X)$ be its universal cover. Yau proved that $\\hiso(X)\\geq m-1$. We prove that equality is rigid: if $\\hiso(X)=m-1$, then $(X,g_X)$ is isometric to $\\Hh^m(-1)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05798",
  "author_total": 3,
  "authors": [
    {
      "name": "Kuntao Jin"
    },
    {
      "name": "Xiaodong Wang"
    },
    {
      "name": "Bo Zhu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a4qjjp02yzd5m.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05798",
  "fulltext_url": null,
  "id": "a4qjjp02yzd5m",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05798",
  "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": "W7212052306",
  "pdf_url": "https://arxiv.org/pdf/2609.05798",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a4qjjp02yzd5m.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.05798",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05798"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Cheeger constant rigidity for cocompact negatively curved manifolds",
  "title_text": "Cheeger constant rigidity for cocompact negatively curved manifolds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/a4qjjp02yzd5m",
  "venue": "arXiv",
  "versions": []
}