{
  "abstract": "A topological group, defined in terms of ``composable minimal geodesics'' is constructed and shown to be homotopy equivalent to the pointed loop space of a path-connected, simply connected Riemannian manifold $M$ of positive convexity radius. This construction is analogous to John Milnor's free group model for the pointed loop space of a connected simplicial complex. Related models built from composable minimal geodesics are also obtained for the free loop space of $M$ and for the space of maps from any finite two-dimensional CW-complex into $M$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.15668",
  "author_total": 4,
  "authors": [
    {
      "name": "Abbas Bahri"
    },
    {
      "name": "Fred Cohen"
    },
    {
      "name": "Moncef Ghazel"
    },
    {
      "name": "Sadok Kallel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/80zyft34jr06z.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.15668",
  "fulltext_url": null,
  "id": "80zyft34jr06z",
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  "landing_url": "https://arxiv.org/abs/2610.15668",
  "language": null,
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  "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.AT"
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      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
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  "openalex": "W7221811704",
  "pdf_url": "https://arxiv.org/pdf/2610.15668",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/80zyft34jr06z.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.15668",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.15668"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Geodesic Models for Loop Spaces on Riemannian Manifolds",
  "title_text": "Geodesic Models for Loop Spaces on Riemannian Manifolds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/80zyft34jr06z",
  "venue": "arXiv",
  "versions": []
}