{
  "abstract": "We study global Calabi flows $g(t)$ on compact Kähler surfaces with a uniform Sobolev constant. For any sequence $t_j\\to\\infty$, set $g_j(t):=g(t_j+t)$. After passing to a subsequence, these flows converge to an eternal Calabi flow on a compact extremal Kähler orbifold surface. The convergence holds in the spacetime $\\hat C^\\infty$-Cheeger--Gromov topology: it is uniform in the Gromov--Hausdorff sense on compact time intervals and smooth away from the orbifold singularities, using comparisons fixed in time.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01882",
  "author_total": 3,
  "authors": [
    {
      "name": "Haozhao Li"
    },
    {
      "name": "Bing Wang"
    },
    {
      "name": "Kai Zheng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5y1nebb91mg30.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01882",
  "fulltext_url": null,
  "id": "5y1nebb91mg30",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01882",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ],
    [
      "arxiv",
      "math.GT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01882",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5y1nebb91mg30.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01882",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01882"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Convergence of the Calabi flow on Kähler surfaces with bounded Sobolev constants",
  "title_text": "Convergence of the Calabi flow on Kähler surfaces with bounded Sobolev constants",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/5y1nebb91mg30",
  "venue": "arXiv",
  "versions": []
}