{
  "abstract": "We classify which of the 672 oriented diffeomorphism types of closed, simply-connected spin 7-manifolds with the cohomology ring of $S^2\\times S^5$ admit a free circle action. In addition, we show that whenever such an action exists, there exist infinitely many pairwise non-equivalent free circle actions. Finally, in almost all cases where such an action exists, we construct invariant Riemannian metrics of positive Ricci curvature.",
  "abstract_shown": true,
  "affiliations": [
    "Karlsruhe, Germany"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Philipp Reiser"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9kb13vz84hbja.bib",
  "cited_by": 0,
  "doi": "10.3842/sigma.2026.094",
  "fulltext_url": null,
  "id": "9kb13vz84hbja",
  "issns": [
    "1815-0659"
  ],
  "landing_url": "https://sigma-journal.com/2026/094/",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7147366030",
  "pdf_url": "https://sigma-journal.com/2026/094/sigma26-094.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": "SIGMA (Symmetry, Integrability and Geometry: Methods and Application)",
  "ris": "https://research.draconitic.com/paper/9kb13vz84hbja.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:27Z",
      "native_id": "10.3842/sigma.2026.094",
      "source": "crossref",
      "url": "https://sigma-journal.com/2026/094/"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Geometry and complex manifolds",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Free Circle Actions and Positive Ricci Curvature on Manifolds with the Cohomology Ring of $S^2\\times S^5$",
  "title_text": "Free Circle Actions and Positive Ricci Curvature on Manifolds with the Cohomology Ring of S^2× S^5",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:27Z",
  "url": "https://research.draconitic.com/paper/9kb13vz84hbja",
  "venue": "Symmetry, Integrability and Geometry: Methods and Applications",
  "versions": []
}