Ruled surfaces of finite type with respect to the second fundamental form

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 surf...

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Bibliographic Details
Published in:arXiv.org 2019-02
Main Authors: Al-Zoubi, Hassan, Dababneh, Amer, Mashaleh, Waseem, Ramahi, Nancy
Format: Article
Language:English
Subjects:
Euclidean geometry
Euclidean space
Online Access:Get full text
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Summary: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.
ISSN:2331-8422