Commun. Korean Math. Soc. 2021; 36(3): 609-622
Online first article December 23, 2020 Printed July 31, 2021
https://doi.org/10.4134/CKMS.c200272
Copyright © The Korean Mathematical Society.
Hossam Eldeen S. Abdel-Aziz, Adel H. Sorour
Sohag University; Sohag University
In the Galilean space $G_{3}$, we study a special kind of tube surfaces, called tube-like surfaces. They are defined by sweeping a space curve along another central space curve. In this setting, we investigate some equations in terms of Gaussian and mean curvatures, showing some relevant theorems. Our theoretical results are illustrated with some plotted examples.
Keywords: Tube-like surface, Gaussian curvature, mean curvature, Weingarten surfaces, Galilean 3-space
MSC numbers: 53A35, 53B30
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