{
  "abstract": "We study the Lorentzian Calderón problem, where the objective is to determine a globally hyperbolic Lorentzian metric up to a boundary fixing diffeomorphism from boundary measurements given by the hyperbolic Dirichlet-to-Neumann map. This problem is a wave equation analogue of the Calderón problem on Riemannian manifolds. We prove that if a globally hyperbolic metric agrees with the Minkowski metric outside a compact set and has the same hyperbolic Dirichlet-to-Neumann map as the Minkowski metric, then it must be the Minkowski metric up to diffeomorphism. In fact this follows from a stronger result that solves a formally determined inverse problem with a much smaller amount of measurements. To prove these results we introduce a new method for geometric hyperbolic inverse problems. The method is based on distorted plane wave solutions and on a combination of geometric, topological and unique continuation arguments.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "name": "Lauri Oksanen",
      "orcid": "0000-0002-3228-7507"
    },
    {
      "name": "Rakesh",
      "orcid": "0000-0003-1293-5113"
    },
    {
      "name": "Mikko Salo",
      "orcid": "0000-0002-3681-6779"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d4tt68b442c8h.bib",
  "cited_by": 12,
  "doi": "10.1090/cams/73",
  "fulltext_url": null,
  "id": "d4tt68b442c8h",
  "issns": [
    "2692-3688"
  ],
  "landing_url": "https://doi.org/10.1090/cams/73",
  "language": "en",
  "licence": "CC-BY-NC-ND",
  "licence_label": "CC BY-NC-ND",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2610|Numerical methods in inverse problems"
    ]
  ],
  "openalex": "W7166591087",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-29",
  "publisher": "American Mathematical Society",
  "ris": "https://research.draconitic.com/paper/d4tt68b442c8h.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T13:20:42Z",
      "native_id": "W7166591087",
      "source": "openalex",
      "url": "https://doi.org/10.1090/cams/73"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Numerical methods in inverse problems",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Rigidity in the Lorentzian Calderón problem with formally determined data",
  "title_text": "Rigidity in the Lorentzian Calderón problem with formally determined data",
  "type": "peer-reviewed",
  "updated_at": "2026-11-08T13:20:36Z",
  "url": "https://research.draconitic.com/paper/d4tt68b442c8h",
  "venue": "Communications of the American Mathematical Society",
  "versions": []
}