On the curvature functions of tube-like surfaces in the Galilean space
Commun. Korean Math. Soc. 2021 Vol. 36, No. 3, 609-622
https://doi.org/10.4134/CKMS.c200272
Published online December 23, 2020
Printed July 31, 2021
Hossam Eldeen S. Abdel-Aziz, Adel H. Sorour
Sohag University; Sohag University
Abstract : 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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