Surfaces of revolution of finite III-type
General Mathematics
2019-10-30 v2
Abstract
In this paper, we consider surfaces of revolution in the 3-dimensional Euclidean space E3 with nonvanishing Gauss curvature. We introduce the finite Chen type surfaces concerning the third fundamental form of the surface. We present a special case of this class of surfaces of revolution in E3, namely, surfaces of revolution where the sum of the radii of the principal curvature R is constant.
Keywords
Cite
@article{arxiv.1907.12390,
title = {Surfaces of revolution of finite III-type},
author = {Hassan Al-Zoubi and Tareq Hamadneh},
journal= {arXiv preprint arXiv:1907.12390},
year = {2019}
}