English

$\delta$(3)-ideal null 2-type hypersurfaces in Euclidean spaces

Differential Geometry 2014-12-23 v1

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 δ\delta(3)-ideal null 2-type hypersurface in a Euclidean space has constant mean curvature and constant scalar curvature.

Keywords

Cite

@article{arxiv.1412.7081,
  title  = {$\delta$(3)-ideal null 2-type hypersurfaces in Euclidean spaces},
  author = {Bang-Yen Chen and Yu Fu},
  journal= {arXiv preprint arXiv:1412.7081},
  year   = {2014}
}

Comments

14 pages, to appear in Differential Geometry and Its Applications