{
  "abstract": "The Nash Embedding theorem asserts that every closed Riemannian manifold can be isometrically embedded into a Euclidean space of sufficiently high dimension. In this paper, we address the asymptotically hyperbolic version of the problem. We prove that an asymptotically hyperbolic manifold $\\left(M,g\\right)$ can be realized as a submanifold of a sufficiently high-dimensional hyperbolic space $\\mathrm{H}^{N+1}$, intersecting the sphere at infinity transversely, if and only if $g$ is asymptotically Poincaré-Einstein to second order.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40962",
  "author_total": 1,
  "authors": [
    {
      "name": "Marco Usula"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fkt2a6t3ehhfp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40962",
  "fulltext_url": null,
  "id": "fkt2a6t3ehhfp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40962",
  "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.DG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40962",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fkt2a6t3ehhfp.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.40962",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40962"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Isometric Embeddings of Asymptotically Hyperbolic Manifolds into Hyperbolic Space",
  "title_text": "Isometric Embeddings of Asymptotically Hyperbolic Manifolds into Hyperbolic Space",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:52Z",
  "url": "https://research.draconitic.com/paper/fkt2a6t3ehhfp",
  "venue": "arXiv",
  "versions": []
}