On the Gauss Map of Tubular Surfaces in Pseudo Galilean 3-Space

Yılmaz Tunçer∗; Murat Kemal Karacan; Dae Won Yoon

doi:10.5666/KMJ.2022.62.3.497

Article

Kyungpook Mathematical Journal 2022; 62(3): 497-507

Published online September 30, 2022

On the Gauss Map of Tubular Surfaces in Pseudo Galilean 3-Space

Yılmaz Tunçer∗, Murat Kemal Karacan, Dae Won Yoon

Department of Mathematics, Usak University, Usak 64200, Turkey
e-mail : yilmaz.tuncer@usak.edu.tr

Department of Mathematics, Usak University, Usak 64200, Turkey
e-mail : murat.karacan@usak.edu.tr

Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 52828, Republic of Korea
e-mail : dwyoon@gsnu.ac.kr

Received: March 21, 2021; Revised: December 7, 2021; Accepted: December 10, 2021

Abstract

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Abstract

In this study, we define tubular surfaces in Pseudo Galilean 3-space as type-1 or type-2. Using the X(s,t) position vectors of the surfaces and G(s,t) Gaussian transformations, we obtain equations for the two types of tubular surfaces that satisfy the conditions ΔX(s,t) =0, ΔX(s,t)=AX(s,t), ΔX(s,t)=λX(s,t), ΔX(s,t)=ΔG(s,t), ΔG(s,t)=0, ΔG(s,t)=AG(s,t) and ΔG(s,t)=λG(s,t).

Keywords: Tubular surfaces, Gauss map, pointwise 1-type Gauss map, Pseudo Galilean 3-Space