{
  "abstract": "Let $U$ be a connected open subset of the complex unit ball $B^n$, $n\\geq2$, and let $F_i: U \\to Ω_i$ be non-constant holomorphic maps into irreducible bounded symmetric domains. We prove that if $F=(F_1, \\cdots, F_m)$ is a holomorphic isometric map from $U$ to the product of $Ω_i$, then every $F_i$ extends to a proper holomorphic isometric embedding up to a positive constant from $B^n$ into $Ω_i$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.29583",
  "author_total": 2,
  "authors": [
    {
      "name": "Yuan Yuan"
    },
    {
      "name": "Xu Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1sqn8bb1k8aec.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.29583",
  "fulltext_url": null,
  "id": "1sqn8bb1k8aec",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.29583",
  "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"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7214372261",
  "pdf_url": "https://arxiv.org/pdf/2609.29583",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1sqn8bb1k8aec.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:15Z",
      "native_id": "2609.29583",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.29583"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Rigidity for local holomorphic isometric maps from the complex unit ball to reducible bounded symmetric domains",
  "title_text": "Rigidity for local holomorphic isometric maps from the complex unit ball to reducible bounded symmetric domains",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/1sqn8bb1k8aec",
  "venue": "arXiv",
  "versions": []
}