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

TUNÇER Y., KARACAN M. K., Yoon D. W.

Kyungpook Mathematical Journal, cilt.62, sa.3, ss.497-507, 2022 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 62 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.5666/kmj.2022.62.3.497
  • Dergi Adı: Kyungpook Mathematical Journal
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.497-507
  • Anahtar Kelimeler: Gauss map, Pointwise 1-type gauss map, Pseudo galilean 3-space, Tubular surfaces
  • Uşak Üniversitesi Adresli: Evet

Özet

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).