{
  "abstract": "We introduce the notion of timelike ideal boundary of a Lorentzian length space as the set of asymptotic classes of future or past-directed timelike geodesic rays, a construction complementary to the causal boundary in the sense of Geroch-Kronheimer-Penrose and akin to the concept of ideal boundary of a metric space. We endow such a timelike ideal boundary with a natural cone topology and an angular metric, and establish upper curvature bounds for the resulting metric space. Finally, we consider generalized cones as a model and study the relation between the timelike ideal boundary and both the metric ideal boundary of the fiber and the asymptotic behaviour of the warping function.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.02496",
  "author_total": 3,
  "authors": [
    {
      "name": "Saúl Burgos"
    },
    {
      "name": "Mauricio Che"
    },
    {
      "name": "Miguel Prados-Abad"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ct3bg6stg1wwg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.02496",
  "fulltext_url": null,
  "id": "ct3bg6stg1wwg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.02496",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.DG"
    ],
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      "arxiv",
      "math.MG"
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      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7163201366",
  "pdf_url": "https://arxiv.org/pdf/2606.02496",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ct3bg6stg1wwg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:19Z",
      "native_id": "2606.02496",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.02496"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Timelike ideal boundary of non-positively curved Lorentzian spaces",
  "title_text": "Timelike ideal boundary of non-positively curved Lorentzian spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:23Z",
  "url": "https://research.draconitic.com/paper/ct3bg6stg1wwg",
  "venue": "arXiv",
  "versions": []
}