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arXiv · 2201.00659

Some properties of surfaces of finite III-type

Hassan Al-Zoubi
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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.

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Hassan Al-Zoubi. 2021-12-31. Some properties of surfaces of finite III-type. https://arxiv.org/abs/2201.00659

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