{
  "abstract": "The anisotropic Calderón problem of determining a smooth Riemannian metric from boundary measurements, up to a boundary-fixing diffeomorphism, remains open in dimensions $n\\ge3$~\\cite{uhlmann2009electrical}. We establish unique identifiability results in two complementary regimes. In the first, the identity principle for quasianalytic functions propagates boundary information and yields unique identifiability on compact manifolds without a prescribed product structure, including a partial-data consequence; under a prescribed normal geometry, quasianalyticity is needed only in the distinguished direction. In the second, suitable symmetry or one-sided ordering assumptions lead to unique identifiability at $C^\\infty$ regularity with full or restricted boundary access. Taken together, the results exhibit a tradeoff among regularity, geometric structure, and boundary access: quasianalyticity supplies continuation when no global product structure is prescribed, while symmetry or one-sided order replaces that continuation at $C^\\infty$ regularity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.15813",
  "author_total": 4,
  "authors": [
    {
      "name": "Lu Chen"
    },
    {
      "name": "Yan Jiang"
    },
    {
      "name": "Hongyu Liu"
    },
    {
      "name": "Longyue Tao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/251c3xcj7bwwe.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.15813",
  "fulltext_url": null,
  "id": "251c3xcj7bwwe",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.15813",
  "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.AP"
    ],
    [
      "openalex",
      "2610|Numerical methods in inverse problems"
    ]
  ],
  "openalex": "W7203689414",
  "pdf_url": "https://arxiv.org/pdf/2608.15813",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/251c3xcj7bwwe.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:15Z",
      "native_id": "2608.15813",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.15813"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Quasianalyticity and geometric rigidity in anisotropic Calderón's problem",
  "title_text": "Quasianalyticity and geometric rigidity in anisotropic Calderón's problem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/251c3xcj7bwwe",
  "venue": "arXiv",
  "versions": []
}