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

Hossam S. Abdel-Aziz
2017 Studia Universitatis Babes-Bolyai Matematica  
The main goal of this paper is the study of the classical differential geometry of a special kind of tube surfaces, so-called tube-like surface in 3dimensional Euclidean space E 3 . It is generated by sweeping a space curve along another central space curve. In particular, the type 2 Bishop frame is considered and some important theorems are obtained for that one. Finally, an application is presented and plotted using computer aided geometric design. (2010) : 53A04, 56B34, 53B25. Mathematics Subject Classification
doi:10.24193/subbmath.2017.2.10 fatcat:xuv2duvonbhfrp42ejwvhux4oq