Ruled surfaces of finite type with respect to the second fundamental form
General Mathematics
2019-02-25 v1
Abstract
In this article, we consider surfaces in the 3-dimensional Euclidean space E3 without parabolic points which are of finite II-type, that is, they are of finite type, in the sense of B.-Y. Chen, corresponding to the second fundamental form. We study an important family of surfaces, namely, ruled surfaces in E3. We show that ruled surfaces are of infinite II-type.
Keywords
Cite
@article{arxiv.1902.08248,
title = {Ruled surfaces of finite type with respect to the second fundamental form},
author = {Hassan Al-Zoubi and Amer Dababneh and Waseem Mashaleh and Nancy Ramahi},
journal= {arXiv preprint arXiv:1902.08248},
year = {2019}
}