{
  "abstract": "We initiate the development of a theory of the negative homogeneity p p -d’Alembert operator in the smooth setting. We relate it to a Bochner-Ohta identity of homogeneity 2 p − 2 > 0 2p-2>0 . We identify conditions under which the unexpected ellipticity of this operator turns out to be uniform. We exploit this to give a new proof of the Eschenburg, Galloway and Newman splitting theorems from Lorentzian geometry, which allows us bring them into a framework closer to the Cheeger-Gromoll splitting theorem from Riemannian geometry.",
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  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 5,
  "authors": [
    {
      "name": "Mathias Braun",
      "orcid": "0000-0002-3005-4267"
    },
    {
      "name": "Nicola Gigli",
      "orcid": "0000-0002-5088-2211"
    },
    {
      "name": "Robert J. McCann",
      "orcid": "0000-0003-3867-808X"
    },
    {
      "name": "Argam Ohanyan",
      "orcid": "0000-0002-6585-8361"
    },
    {
      "name": "Clemens Sämann",
      "orcid": "0000-0002-4155-2317"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/85461167sqaek.bib",
  "cited_by": 13,
  "doi": "10.1090/cams/77",
  "fulltext_url": null,
  "id": "85461167sqaek",
  "issns": [
    "2692-3688"
  ],
  "landing_url": "https://doi.org/10.1090/cams/77",
  "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",
      "2604|Geometric Analysis and Curvature Flows"
    ]
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  "openalex": "W4403578418",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-10",
  "publisher": "American Mathematical Society",
  "ris": "https://research.draconitic.com/paper/85461167sqaek.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T13:20:36Z",
      "native_id": "W4403578418",
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      "url": "https://doi.org/10.1090/cams/77"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Geometric Analysis and Curvature Flows",
      "subfield": "general"
    }
  ],
  "title": "An elliptic proof of the splitting theorems from Lorentzian geometry",
  "title_text": "An elliptic proof of the splitting theorems from Lorentzian geometry",
  "type": "peer-reviewed",
  "updated_at": "2026-11-08T13:20:36Z",
  "url": "https://research.draconitic.com/paper/85461167sqaek",
  "venue": "Communications of the American Mathematical Society",
  "versions": []
}