{
  "abstract": "Let $G$ be a compact connected semisimple Lie group, let $Q$ be a bi-invariant metric and let $ρ$ be its Cartan three-form. We prove that every left-invariant generalized Ricci flow with $[H_0]=[ρ]$ exists for all positive time and converges smoothly to a Bismut-Ricci-flat pair without rescaling or pullback. The standard pair uniquely maximizes generalized scalar curvature in its torsion class, and every left-invariant Bismut-Ricci-flat pair on a compact simple group is standard, answering questions of Fusi, Lafuente and Stanfield and of Lauret and Will. On the product of two copies of a compact simple group, nonstandard stationary pairs in the Cartan class are known; we construct nonstationary flows with the exact initial form $[H_0]=[ρ]$ and nonstandard limits, disproving the general semisimple case of the convergence conjecture of Garcia-Fernandez and Streets. The proofs use a proper nonincreasing energy and a decomposition of Killing fields that parametrizes the stationary pairs by nilpotent Lie algebra endomorphisms.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03795",
  "author_total": 4,
  "authors": [
    {
      "name": "Zhiqi Chen"
    },
    {
      "name": "Jianhua Yu"
    },
    {
      "name": "Huibin Chen"
    },
    {
      "name": "Junna Ni"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bp3nct4rrvtrn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03795",
  "fulltext_url": null,
  "id": "bp3nct4rrvtrn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03795",
  "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",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7220658792",
  "pdf_url": "https://arxiv.org/pdf/2610.03795",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bp3nct4rrvtrn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.03795",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03795"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Generalized scalar curvature and Ricci flow on compact Lie groups",
  "title_text": "Generalized scalar curvature and Ricci flow on compact Lie groups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/bp3nct4rrvtrn",
  "venue": "arXiv",
  "versions": []
}