{
  "abstract": "Let $M=Γ\\backslash G$ be a compact solvmanifold with a left-invariant Hermitian structure whose Lie algebra is two-step solvable. If the Chern holomorphic sectional curvature is constant, then the derived algebra is $J$-invariant and the Chern connection is flat. At the Lie-algebra level, we also prove that constant Chern holomorphic sectional curvature is impossible for a unimodular two-step solvable Hermitian Lie algebra of mixed Freibert-Swann type.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34820",
  "author_total": 2,
  "authors": [
    {
      "name": "Shanlin Guan"
    },
    {
      "name": "Yuqin Guo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dk79dy93v1m45.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34820",
  "fulltext_url": null,
  "id": "dk79dy93v1m45",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34820",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7223918881",
  "pdf_url": "https://arxiv.org/pdf/2610.34820",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dk79dy93v1m45.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.34820",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34820"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Constant Chern holomorphic sectional curvature on two-step solvmanifolds",
  "title_text": "Constant Chern holomorphic sectional curvature on two-step solvmanifolds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/dk79dy93v1m45",
  "venue": "arXiv",
  "versions": []
}