Tubes of finite Chen-type
General Mathematics
2022-02-07 v1
Abstract
In this paper, we consider surfaces in the 3-dimensional Euclidean space E3 which are of finite III-type, that is, they are of finite type, in the sense of B.-Y. Chen, corresponding to the third fundamental form. We present an important family of surfaces, namely, tubes in E3 .We show that tubes are of infinite III-type.
Keywords
Cite
@article{arxiv.1902.08247,
title = {Tubes of finite Chen-type},
author = {Hassan Al-Zoubi and Khalid M. Jaber and Stylianos Stamatakis},
journal= {arXiv preprint arXiv:1902.08247},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1902.03131, arXiv:1710.07619