{
  "abstract": "More than twenty years ago, Croke and Dairbekov showed that a negatively curved metric g0 on a closed surface has minimal area among all negatively curved Riemannian metrics g on the same surface whose marked length spectrum is greater or equal to that of g0. We show that the curvature assumption on the second metric can be removed and extend this result to reversible Finsler metrics. More precisely, we prove that a reversible Finsler metric F0 on a closed surface whose geodesic flow is Anosov has minimal area among all reversible Finsler metrics F on the same surface whose marked length spectrum is greater or equal to that of F0.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.32489",
  "author_total": 2,
  "authors": [
    {
      "name": "Marcos Cossarini"
    },
    {
      "name": "St Éphane Sabourau"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bfxfqmwnwvxs7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.32489",
  "fulltext_url": null,
  "id": "bfxfqmwnwvxs7",
  "issns": [],
  "landing_url": "https://hal.science/hal-05837410v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ],
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      "arxiv",
      "math.DS"
    ],
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      "0.math"
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  "openalex": null,
  "pdf_url": "https://hal.science/hal-05837410/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bfxfqmwnwvxs7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:01Z",
      "native_id": "hal-05837410",
      "source": "hal",
      "url": "https://hal.science/hal-05837410v1"
    },
    {
      "first_seen": "2026-10-30T12:35:19Z",
      "native_id": "2610.32489",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.32489"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Marked length spectrum and area of surfaces with Anosov geodesic flow",
  "title_text": "Marked length spectrum and area of surfaces with Anosov geodesic flow",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/bfxfqmwnwvxs7",
  "venue": "HAL",
  "versions": []
}