Ruled Surfaces of Finite Chen-Type

Hassan Al-Zoubi,Shadi Al-Zu'bi,Stylianos Stamatakis,Hani Almimi

JOURNAL FOR GEOMETRY AND GRAPHICS（2018）

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摘要

In this paper, we study ruled surfaces in the 3-dimensional Euclidean space which are of finite III-type, that is, they are of finite type, in the sense of B.-Y. Chen, with respect to the third fundamental form. We show that helicoids are the only ruled surfaces of finite III-type.

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关键词

Surfaces in Euclidean space,Surfaces of finite type,Beltrami operator

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