{
  "abstract": "We study the structure of compact Vaisman and l.c.K. manifolds with nonnegative bisectional curvature in this paper. Our first main result (cf. Theorem 1.3) is a uniformization theorem for compact Vaisman manifolds, extending Mok's uniformization theorem in the Kähler setting (cf. [Mok88]). Our second result (cf. Theorem 1.6) gives a structural trichotomy for compact l.c.K. manifolds with nonnegative Chern bisectional curvature: the underlying complex manifold admits a Kähler metric, admits a Vaisman metric, or its universal cover is conformally equivalent to the product of an incomplete Kähler manifold and a positive-dimensional complex Euclidean space.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25880",
  "author_total": 1,
  "authors": [
    {
      "name": "Jiangtao Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4za3gvv84t5y8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25880",
  "fulltext_url": null,
  "id": "4za3gvv84t5y8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25880",
  "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": "W7214125251",
  "pdf_url": "https://arxiv.org/pdf/2609.25880",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4za3gvv84t5y8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2609.25880",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25880"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Compact Vaisman and l.c.K. manifolds with nonnegative bisectional curvature",
  "title_text": "Compact Vaisman and l.c.K. manifolds with nonnegative bisectional curvature",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/4za3gvv84t5y8",
  "venue": "arXiv",
  "versions": []
}