On the curvature functions of tube-like surface in Galilean space
Commun. Korean Math. Soc.
Published online December 23, 2020
Hossam Seif Abdel Aziz and Adel Hassan Sorour
University
Abstract : In this paper, we study a special kind of tube surfaces, so-called tube-like surface
in 3-dimensional Galilean space G3. It is generated by sweeping a space curve along
another central space curve. This study investigates the Galilean version of that surface
satisfy some equations in terms of Gaussian and mean curvatures. Furthermore,
some important theorems are obtained for that one. Finally, an example of tube-like
surface is given and plotted to demonstrate our theoretical results.
Keywords : Tube-like surface, Gaussian curvature, Mean curvature, Weingarten surfaces, Galilean 3-space.
MSC numbers : 53A35, 53B30
Full-Text :

   

Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd