{
  "abstract": "For every real Berwald strongly convex complex Finsler manifold $(M,F,J,\\hat\\nabla)$, if the Cartan nonlinear connection satisfies the parallelism condition $\\hat\\nabla J=0$, we construct a good complex vertical connection $D$, prove that $D$ is the complex Rund connection, and $F$ is Kähler-Berwald. The inverse direction also can be seen from the construction and proof. As an application, we prove that on an irreducible Hermitian symmetric space $M=G/H$, $G$-invariant complex Finsler metrics are Kähler--Berwald. Besides, we obtain the characterization of strongly pseudoconvex holomorphically invariant complex Finsler metrics on the classical domains of type-IV.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07752",
  "author_total": 1,
  "authors": [
    {
      "name": "Xiaoshu Ge"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4k3t6c7mr3d9t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07752",
  "fulltext_url": null,
  "id": "4k3t6c7mr3d9t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07752",
  "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.CV"
    ],
    [
      "arxiv",
      "math.DG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07752",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4k3t6c7mr3d9t.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.07752",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07752"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "On strongly convex Kähler--Berwald manifolds",
  "title_text": "On strongly convex Kähler--Berwald manifolds",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:48Z",
  "url": "https://research.draconitic.com/paper/4k3t6c7mr3d9t",
  "venue": "arXiv",
  "versions": []
}