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

TUNÇER Y., KARACAN M. K., Yoon D. W.

Kyungpook Mathematical Journal, vol.62, no.3, pp.497-507, 2022 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 62 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.5666/kmj.2022.62.3.497
  • Journal Name: Kyungpook Mathematical Journal
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.497-507
  • Keywords: Gauss map, Pointwise 1-type gauss map, Pseudo galilean 3-space, Tubular surfaces
  • Uşak University Affiliated: Yes

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).