AUTHORS: Hassan Al-Zoubi, Amer Dababneh, Mutaz Al-Sabbagh
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In this paper, 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, with respect to the second fundamental form. We study an important family of surfaces, namely, ruled surfaces in E3 . We show that ruled surfaces of infinite II-type.
KEYWORDS: Surfaces in Euclidean space, Surfaces of finite type, Ruled surface, Second fundamental form, Beltrami operator
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