{
  "abstract": "We construct analogues of Riemann minimal examples among surfaces in the Euclidean 3-space whose mean curvature is given by a prescribed function on the unit sphere in terms of their Gauss map. Specifically, we obtain a 2-parameter family of complete, properly embedded surfaces foliated by circles and straight lines and invariant under a nontrivial translation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38563",
  "author_total": 1,
  "authors": [
    {
      "name": "Antonio Bueno"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/51f7v739d8bqn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38563",
  "fulltext_url": null,
  "id": "51f7v739d8bqn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38563",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38563",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/51f7v739d8bqn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.38563",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38563"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Prescribed mean curvature surfaces of Riemann minimal type",
  "title_text": "Prescribed mean curvature surfaces of Riemann minimal type",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/51f7v739d8bqn",
  "venue": "arXiv",
  "versions": []
}