Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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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.

On the curvature functions of tube-like surfaces in the Galilean space

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