Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On the Gauss Map of Tubular Surfaces in Pseudo Galilean 3-Space

  • Received : 2021.03.21
  • Accepted : 2021.12.10
  • Published : 2022.09.30
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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 ∆X(s, t) = 0, ∆X(s, t) = AX(s, t), ∆X(s, t) = λX(s, t), ∆X(s, t) = ∆G(s, t), ∆G(s, t) = 0, ∆G(s, t) = AG(s, t) and ∆G(s, t) = λG(s, t).

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Acknowledgement

The authors are indebted to the referees for helpful suggestions and insights concerning the presentation of this paper.

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