A study of tube-like surfaces according to type 2 Bishop frame in Euclidean space
DOI:
https://doi.org/10.24193/subbmath.2017.2.10Keywords:
Tube-like surface, Weingarten and linear Weingarten surfaces, Gaussian and mean curvature functions, second Gaussian curvature, Type 2 Bishop frame, Euclidean space.Abstract
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 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 considered and some important theorems are obtained for that one. Finally, an application is presented and plotted using computer aided geometric design.
Mathematics Subject Classification (2010): 53A04, 56B34, 53B25.
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