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arXiv · 1902.08247

Tubes of finite Chen-type

Hassan Al-Zoubi·Khalid M. Jaber·Stylianos Stamatakis
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Abstract

In this paper, we consider surfaces in the 3-dimensional Euclidean space E3 which are of finite III-type, that is, they are of finite type, in the sense of B.-Y. Chen, corresponding to the third fundamental form. We present an important family of surfaces, namely, tubes in E3 .We show that tubes are of infinite III-type.

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Hassan Al-Zoubi, Khalid M. Jaber, Stylianos Stamatakis. 2019-02-20. Tubes of finite Chen-type. https://arxiv.org/abs/1902.08247

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