Tubular Surfaces Around a Null Curve and Its Spherical Images

Abstract

In this study, we define tubular surfaces whose center curves are null curves and their spherical images in Minkowski 3􀀀space. Firstly, we give the interior properties of the surfaces and calculate their invariant curvatures. Then, we obtain some special characterizations for the parameter curves of the surfaces. Finally, we demonstrate the theory via example and give their visualizations with the help of Mathematica.

Keywords

• Asymptotic curve
• Geodesic curve
• Images
• Singular points
• Tubular surface

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