{
  "abstract": "In this paper, we prove that any two dimensional complete translating soliton in ${\\mathbb R}^4$ with finite total curvature is a plane. It is in fact a consequence of our main result.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.30570",
  "author_total": 4,
  "authors": [
    {
      "name": "Xiaoli Han"
    },
    {
      "name": "Jiayu Li"
    },
    {
      "name": "Jun Sun"
    },
    {
      "name": "Jie Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0pxyqnj2vnqnt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.30570",
  "fulltext_url": null,
  "id": "0pxyqnj2vnqnt",
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  "landing_url": "https://arxiv.org/abs/2608.30570",
  "language": null,
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  "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": "W7204886583",
  "pdf_url": "https://arxiv.org/pdf/2608.30570",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0pxyqnj2vnqnt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.30570",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.30570"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A Bernstein type theorem for a two dimensional translating soliton in ${\\mathbb R}^4$ with finite total curvature",
  "title_text": "A Bernstein type theorem for a two dimensional translating soliton in ℝ^4 with finite total curvature",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/0pxyqnj2vnqnt",
  "venue": "arXiv",
  "versions": []
}