{
  "abstract": "Let $(M^n,g)$ be a closed, connected, oriented Riemannian manifold with negative sectional curvature and $n\\ge 2$. It is known, due to Brin and Gromov, that the oriented frame flow is ergodic in every odd dimension $n\\ge 3$, $n\\neq 7$. We prove that if a closed, connected, oriented negatively curved Riemannian manifold is strictly quarter-pinched, then its oriented frame flow is ergodic.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.09600",
  "author_total": 2,
  "authors": [
    {
      "name": "Heng Zhang"
    },
    {
      "name": "Shuhao Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b62fxy11n7wz0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.09600",
  "fulltext_url": null,
  "id": "b62fxy11n7wz0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.09600",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ],
    [
      "openalex",
      "3103|Advanced Differential Geometry Research"
    ]
  ],
  "openalex": "W7202186294",
  "pdf_url": "https://arxiv.org/pdf/2608.09600",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b62fxy11n7wz0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2608.09600",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.09600"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Pinching and Tensorial Rigidity for Ergodicity of Frame Flows",
  "title_text": "Pinching and Tensorial Rigidity for Ergodicity of Frame Flows",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/b62fxy11n7wz0",
  "venue": "arXiv",
  "versions": []
}