{
  "abstract": "We study natural structures of the kind of $\\mathrm{G}_2$ existing on the unit tangent sphere bundle $SM \\rightarrow M$ of any oriented Riemannian 4-manifold $M$. Based on the Harvey-Morgan classification of degree 3 calibrations on $\\mathbb{R}^7$, we identity those which can be found on $SM$. We also study the Laplacian of the Sasaki metric on 3-forms.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.28980",
  "author_total": 1,
  "authors": [
    {
      "name": "Rui Albuquerque"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fsaq3sf3mn459.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.28980",
  "fulltext_url": null,
  "id": "fsaq3sf3mn459",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.28980",
  "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",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7223246128",
  "pdf_url": "https://arxiv.org/pdf/2610.28980",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fsaq3sf3mn459.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2610.28980",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.28980"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Calibrations close to $\\mathrm{G}_2$-twistor space",
  "title_text": "Calibrations close to G_2-twistor space",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/fsaq3sf3mn459",
  "venue": "arXiv",
  "versions": []
}