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

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.