{
  "id": "1412.7081",
  "version": "v1",
  "published": "2014-12-22T18:27:09.000Z",
  "updated": "2014-12-22T18:27:09.000Z",
  "title": "$δ$(3)-ideal null 2-type hypersurfaces in Euclidean spaces",
  "authors": [
    "Bang-Yen Chen",
    "Yu Fu"
  ],
  "comment": "14 pages, to appear in Differential Geometry and Its Applications",
  "categories": [
    "math.DG"
  ],
  "abstract": "In the theory of finite type submanifolds, null 2-type submanifolds are the most simple ones, besides 1-type submanifolds (cf. e.g., [3, 12]). In particular, the classification problems of null 2-type hypersurfaces are quite interesting and of fundamentally important. In this paper, we prove that every $\\delta$(3)-ideal null 2-type hypersurface in a Euclidean space has constant mean curvature and constant scalar curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-22T18:27:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C40",
      "53C42"
    ],
    "keywords": [
      "euclidean space",
      "hypersurface",
      "constant scalar curvature",
      "finite type submanifolds",
      "constant mean curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.7081C"
    }
  }
}