{
  "abstract": "We classify complete, non-compact, simply connected, irreducible four-dimensional steady gradient Ricci solitons that are globally conformally Kähler and have an isoparametric potential. The steady Ricci solitons are $U(2)$-invariant nuts on $\\mathbb R^4$, including the Bryant and Cao solitons, and bolts on $\\mathbb{S}^2 \\times \\mathbb R^2$ and on $\\mathcal O(-m)\\to\\mathbb{CP}^1$. For each $m\\ge3$ there is exactly one non-collapsed bolt. A key step, valid for Ricci solitons of every sign, is that away from the locally conformally flat case, the conformal factor is aligned with the potential function, which yields cohomogeneity-one symmetry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40994",
  "author_total": 2,
  "authors": [
    {
      "name": "Ernani Ribeiro Jr"
    },
    {
      "name": "Hung Tran"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2ej81rvxn1322.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40994",
  "fulltext_url": null,
  "id": "2ej81rvxn1322",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40994",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40994",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2ej81rvxn1322.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.40994",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40994"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Steady conformally Kähler Ricci solitons with isoparametric potential",
  "title_text": "Steady conformally Kähler Ricci solitons with isoparametric potential",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:52Z",
  "url": "https://research.draconitic.com/paper/2ej81rvxn1322",
  "venue": "arXiv",
  "versions": []
}