{
  "abstract": "We study radial Kähler metrics on domains of $\\mathbb{C}^n$, $n\\geq 2$, admitting a Kähler immersion into a finite- or infinite-dimensional complex projective space. We classify those with constant non-negative scalar curvature: up to a linear change of coordinates, they are positive integer multiples of the Fubini-Study metric, the flat metric, or, in complex dimension two, generalized Burns-Simanca metrics. We also prove that every radial projectively induced Kähler-Einstein metric has constant holomorphic sectional curvature and is therefore a Fubini-Study, flat, or complex hyperbolic metric. Finally, we show that a radial infinitely projectively induced extremal Kähler metric has unbounded maximal radial domain if and only if it is scalar-flat.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08438",
  "author_total": 4,
  "authors": [
    {
      "name": "Claudio Arezzo"
    },
    {
      "name": "Andrea Loi"
    },
    {
      "name": "Giovanni Placini"
    },
    {
      "name": "Michela Zedda"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ekftmz2m568km.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08438",
  "fulltext_url": null,
  "id": "ekftmz2m568km",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08438",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7212019655",
  "pdf_url": "https://arxiv.org/pdf/2609.08438",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ekftmz2m568km.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.08438",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08438"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Radial Projectively Induced Canonical Kähler Metrics: Rigidity and Classification",
  "title_text": "Radial Projectively Induced Canonical Kähler Metrics: Rigidity and Classification",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/ekftmz2m568km",
  "venue": "arXiv",
  "versions": []
}