{
  "abstract": "In this paper, we derive some new relative volume comparison theorems and Bishop-Gromov volume comparisons on Finsler metric measure manifolds, all of which are controlled by the integral weighted Ricci curvature. In particular, we establish a Bishop-Gromov volume comparison theorem for nonconcentric balls. Based on these, we prove a theorem of Bonnet-Myers type on Finsler metric measure manifolds with integral weighted Ricci curvature bounds.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02686",
  "author_total": 2,
  "authors": [
    {
      "name": "Xinyue Cheng"
    },
    {
      "name": "Liulin Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b2j5wjqqd6wtm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02686",
  "fulltext_url": null,
  "id": "b2j5wjqqd6wtm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02686",
  "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.DG"
    ],
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      "arxiv",
      "math.GT"
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    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
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  "openalex": "W7207558798",
  "pdf_url": "https://arxiv.org/pdf/2609.02686",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b2j5wjqqd6wtm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "2609.02686",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02686"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "The Bonnet-Myers theorem on Finsler manifolds with integral weighted Ricci curvature bounds",
  "title_text": "The Bonnet-Myers theorem on Finsler manifolds with integral weighted Ricci curvature bounds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/b2j5wjqqd6wtm",
  "venue": "arXiv",
  "versions": []
}