{
  "abstract": "We consider the cohomogeneity one action of $G_{p,q}=\\mathrm{U}(p+1)\\times\\mathrm{U}(q+1)$ on $\\mathbb{C}P^{p+q+1}$, where $p\\geq q\\geq 1$ and $p>1$. We characterize all $G_{p,q}$-invariant Riemannian metrics compatible with the canonical complex structure and obtain parametrizations of the invariant Kähler and balanced metrics. As an application, we use these parametrizations to construct a family of inhomogeneous balanced non-Kähler metrics with positive scalar curvature on complex projective spaces of odd complex dimension.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.24116",
  "author_total": 2,
  "authors": [
    {
      "name": "Brian Grajales"
    },
    {
      "name": "Lino Grama"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5f63ympd1ay2p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24116",
  "fulltext_url": null,
  "id": "5f63ympd1ay2p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.24116",
  "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",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7223037526",
  "pdf_url": "https://arxiv.org/pdf/2610.24116",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5f63ympd1ay2p.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.24116",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24116"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Inhomogeneous balanced non-Kähler metrics on complex projective spaces",
  "title_text": "Inhomogeneous balanced non-Kähler metrics on complex projective spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/5f63ympd1ay2p",
  "venue": "arXiv",
  "versions": []
}