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Tubular Surfaces Formed by Semi-spherical Indicatrices in $$E_1^3$$

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In this paper, we study tubular surfaces whose centers are semi-spherical indicatrices of a spatial curve using the alternative moving frame $$ \left\{ N,C,W\right\} $$ . The first objective is… Click to show full abstract

In this paper, we study tubular surfaces whose centers are semi-spherical indicatrices of a spatial curve using the alternative moving frame $$ \left\{ N,C,W\right\} $$ . The first objective is to examine the basic properties of these surfaces. Then, we investigate the condition of the parameter curves on these surfaces to be asymptotic and geodesic curves. Finally, we present the graphs of some related examples using the Mathematica.

Keywords: semi spherical; surfaces formed; formed semi; spherical indicatrices; tubular surfaces

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2020

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