{
  "abstract": "Let $n\\geq2$, and let $f:[0,+\\infty)\\to\\mathbb{R}$ be a smooth function satisfying $f''\\geq0$ and $0<m\\leq f'\\leq M$ for some constants $m$ and $M$. We prove that $\\mathbb{R}^{n+1}$, endowed with the conformal metric \\begin{equation*} ds^2=e^{-\\frac{f(|x|^2)}{2n}}\\sum_{i=1}^{n+1}dx_i^2, \\end{equation*} admits a compact, embedded, rotationally symmetric minimal hypersurface diffeomorphic to $S^1\\times S^{n-1}$. This extends Angenent's existence theorem for self-shrinking tori, which is recovered when $f(s)=s$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.05022",
  "author_total": 1,
  "authors": [
    {
      "name": "Peng Peng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0wej8at3xzydm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.05022",
  "fulltext_url": null,
  "id": "0wej8at3xzydm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.05022",
  "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",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7160557759",
  "pdf_url": "https://arxiv.org/pdf/2605.05022",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0wej8at3xzydm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2605.05022",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.05022"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Existence of rotationally symmetric embedded f-minimal tori",
  "title_text": "Existence of rotationally symmetric embedded f-minimal tori",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/0wej8at3xzydm",
  "venue": "arXiv",
  "versions": []
}