{
  "abstract": "We construct the first examples of quasi-contact metric structures that are not contact metric in every odd dimension greater than or equal to $5$. In dimension $5$, we construct a one-parameter family of such examples with a Killing characteristic vector field by deforming Sasaki-Einstein $\\mathrm{SU}(2)$-structures. This yields compact, homogeneous examples on $S^5$. In arbitrary dimensions, we investigate quasi-contact metric structures with a Killing characteristic vector field and derive a Ricci curvature criterion for the structure to be K-contact.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.02073",
  "author_total": 2,
  "authors": [
    {
      "name": "Beniamino Cappelletti-Montano"
    },
    {
      "name": "Antonio De Nicola"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6wmamw1m0xeqa.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.02073",
  "fulltext_url": null,
  "id": "6wmamw1m0xeqa",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.02073",
  "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": "W7216531089",
  "pdf_url": "https://arxiv.org/pdf/2610.02073",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6wmamw1m0xeqa.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:07Z",
      "native_id": "2610.02073",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.02073"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Quasi-contact metric structures from Sasaki-Einstein metrics",
  "title_text": "Quasi-contact metric structures from Sasaki-Einstein metrics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/6wmamw1m0xeqa",
  "venue": "arXiv",
  "versions": []
}