{
  "abstract": "We develop a parabolic formulation of the Uhlenbeck gauge fixing theorem and use it to prove the maximal existence of the Yang-Mills flow in vector bundles over compact $n$-dimensional Riemannian manifolds for $n \\geq 4$. We apply Moser's iteration technique \\cite{Mo1} to give a new proof of the bound of the curvature. Using an idea of Hamilton on the Ricci flow \\cite{Ha}, we also provide a new proof on uniform estimates of higher order derivatives. Furthermore, we investigate the blow-up of the Yang-Mills flow at the maximal existence time and improve an asymptotical result of Hong-Tian \\cite{HT1}.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38124",
  "author_total": 3,
  "authors": [
    {
      "name": "Jared Casey"
    },
    {
      "name": "Chak Hoi Chan"
    },
    {
      "name": "Min-Chun Hong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/05cv69n81j16w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38124",
  "fulltext_url": null,
  "id": "05cv69n81j16w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38124",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38124",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/05cv69n81j16w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.38124",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38124"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "The Yang-Mills flow in vector bundles over higher dimensional Riemannian manifolds",
  "title_text": "The Yang-Mills flow in vector bundles over higher dimensional Riemannian manifolds",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/05cv69n81j16w",
  "venue": "arXiv",
  "versions": []
}