{
  "abstract": "We obtain a complete description of the class of entrywise preservers of Lorentz-Gram matrices. This resolves, for the case of constant negative curvature, the classification of entrywise preservers obtained by Schoenberg in the zero-curvature (Euclidean) and constant-positive-curvature (spherical) settings. These preservers admit a Lévy--Khintchine-type representation and their asymptotic characteristics are related to Krein's classification of screw lines in Lobachevsky space. Connections with complete Nevanlinna--Pick kernels and Bochner subordination are also obtained.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.22568",
  "author_total": 4,
  "authors": [
    {
      "name": "Alexander Belton"
    },
    {
      "name": "Dominique Guillot"
    },
    {
      "name": "Apoorva Khare"
    },
    {
      "name": "Mihai Putinar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c81gawfc1pcw0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.22568",
  "fulltext_url": null,
  "id": "c81gawfc1pcw0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.22568",
  "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.CA"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7204201973",
  "pdf_url": "https://arxiv.org/pdf/2608.22568",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c81gawfc1pcw0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2608.22568",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.22568"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Distance preservers for Lobachevsky space",
  "title_text": "Distance preservers for Lobachevsky space",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/c81gawfc1pcw0",
  "venue": "arXiv",
  "versions": []
}