{
  "abstract": "We present a simple computer-assisted procedure to construct $SO(d_1+1)\\times SO(d_2+1)$-invariant cohomogeneity one Einstein metrics, and use it to recover known Einstein metrics on $S^{10}$ and $S^{12}$, as well as find new ones on $S^{11}$, $S^{12}$, $S^{13}$ and $S^7\\times S^3$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.05519",
  "author_total": 1,
  "authors": [
    {
      "name": "Qiu Shi Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4bfafq3ty58fe.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.05519",
  "fulltext_url": null,
  "id": "4bfafq3ty58fe",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.05519",
  "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",
      "3103|Advanced Differential Geometry Research"
    ]
  ],
  "openalex": "W7163689427",
  "pdf_url": "https://arxiv.org/pdf/2606.05519",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4bfafq3ty58fe.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2606.05519",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.05519"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Doubly warped product Einstein metrics on spheres",
  "title_text": "Doubly warped product Einstein metrics on spheres",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/4bfafq3ty58fe",
  "venue": "arXiv",
  "versions": []
}