Some properties of surfaces of finite III-type
Differential Geometry
2022-01-04 v1
Abstract
In this paper, we firstly investigate some relations regarding the first and the second Laplace operators corresponding to the third fundamental form III of a surface in the Euclidean space E3. Besides, we introduce the finite Chen type surfaces of revolution with nonvanishing Gauss curvature with respect to the third fundamental form. We present a special case of this family of surfaces of revolution in E3, namely, surfaces of revolution with R is constant, where R denotes the sum of the radii of the principal curvature of a surface.
Keywords
Cite
@article{arxiv.2201.00659,
title = {Some properties of surfaces of finite III-type},
author = {Hassan Al-Zoubi},
journal= {arXiv preprint arXiv:2201.00659},
year = {2022}
}
Comments
7 pages