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STUDIA MATHEMATICA - Issue no. 2 / 2017 | |||||||
Article: |
A STUDY OF TUBE-LIKE SURFACES ACCORDING TO TYPE 2 BISHOP FRAME IN EUCLIDEAN SPACE. Authors: HOSSAM S. ABDEL-AZIZ. |
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Abstract: DOI: 10.24193/subbmath.2017.2.10 Published Online: 2017-06-15 Published Print: 2017-06-30 pp. 249-259 VIEW PDF: A STUDY OF TUBE-LIKE SURFACES ACCORDING TO TYPE 2 BISHOP FRAME IN EUCLIDEAN SPACE 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. Keywords: Tube-like surface, Weingarten and linear Weingarten surfaces, Gaussian and mean curvature functions, second Gaussian curvature, Type 2 Bishopframe, Euclidean space. |
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