AUTHORS: Hassan Al-Zoubi

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ABSTRACT: In this paper, we consider surfaces in the 3-dimensional Euclidean space E3 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 present an important family of surfaces, namely, tubes in E3 . We show that tubes are of infinite II-type.

KEYWORDS: Surfaces in the Euclidean 3-space, Surfaces of finite Chen-type, Beltrami operator

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