{
  "annotation_id": "40740115-c293-46b3-ac25-f40ba2928775",
  "date_created": "2026-02-17T05:53:16.282000Z",
  "date_modified": "2026-02-17T05:53:16.282000Z",
  "file_hash": "e14bdd517383a410fc13a51ea1950670bab61aa3c6763d4dde2cd9dad7510a38",
  "private": false,
  "record": {
    "abstract": "In this paper, we prove Bernstein type theorems for entire convex graphical hypersurfaces with zero Gaussian curvature in both Euclidean and Minkowski context. A supplementary example illustrates that zero Gaussian convex spacelike hypersurfaces are not necessary hyperplanes without additional conditions. We show that a zero Gaussian curvature convex hypersurface must be a hyperplane if the mean curvature goes to zero at infinity. In the Minkowski context, we prove similar results for hypersurface without timelike points.",
    "arxiv_id": "2601.08124",
    "authors": [
      "Slawomir Dinew",
      "Mengru Guo",
      "Heming Jiao"
    ],
    "categories": [
      "math.DG",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Three Bernstein type theorems for hypersurfaces with zero Gaussian curvature",
    "url": "https://arxiv.org/abs/2601.08124",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f426a6b7-595e-4aff-a51c-89fef05a0092",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}