$\delta$(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 (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