A study of tube-like surfaces according to type 2 Bishop frame in Euclidean space

Hossam Abdel-Aziz

Abstract


The main goal of this paper is to study the classical di¤erential geometry of a special kind of tube surfaces, so-called tube-like surface in 3-dimensional Euclidean space E3. It is generated by sweeping a space curve along another central space curve.
In particular, the type 2 Bishop frame is investigated and some important theorems are obtained for that one. Finally, an application is presented and plotted using computer aided geometric design.

Keywords


Tube-like surface, Weingarten and linear Weingarten surface, Gaussian and mean curvature functions, Second Gaussian and mean curvatures, Type 2 Bishop frame, Euclidean space.

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DOI: http://dx.doi.org/10.24193/subbmath.2017.2.10

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