{
  "id": "2409.04426",
  "version": "v1",
  "published": "2024-09-06T17:39:57.000Z",
  "updated": "2024-09-06T17:39:57.000Z",
  "title": "On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds",
  "authors": [
    "Josef Mikes",
    "Sergey Stepanov",
    "Irina Tsyganok"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "This paper establishes the conditions under which minimal and stable minimal hypersurfaces are characterized as hyperplanes in Euclidean spaces and as totally geodesic submanifolds in Riemannian manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-06T17:39:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "euclidean spaces",
      "riemannian manifolds",
      "paper establishes",
      "totally geodesic submanifolds",
      "stable minimal hypersurfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}