{
  "abstract": "We give a weak formulation of spectral scalar curvature bounded from below via establishing a dihedral rigidity result. Given some special convex polyhedron, if another metric are of non-negative spectral scalar curvature in the interior, with weighted mean-convex faces, and with its dihedral angles less than or equal to their flat polyhedral model everywhere along the edges, then the metric must be flat. This is motivated by Gromov's definition of a weak notion of non-negative scalar curvature.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.21721",
  "author_total": 1,
  "authors": [
    {
      "name": "Xiaoxiang Chai"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9y8q637g822sz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.21721",
  "fulltext_url": null,
  "id": "9y8q637g822sz",
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  "landing_url": "https://arxiv.org/abs/2609.21721",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
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  ],
  "openalex": "W7213952894",
  "pdf_url": "https://arxiv.org/pdf/2609.21721",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9y8q637g822sz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:07Z",
      "native_id": "2609.21721",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.21721"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Rigidity and weak notions of spectral scalar curvature",
  "title_text": "Rigidity and weak notions of spectral scalar curvature",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:07Z",
  "url": "https://research.draconitic.com/paper/9y8q637g822sz",
  "venue": "arXiv",
  "versions": []
}