Axioms (Aug 2023)

On Some Quasi-Curves in Galilean Three-Space

  • Ayman Elsharkawy,
  • Yusra Tashkandy,
  • Walid Emam,
  • Clemente Cesarano,
  • Noha Elsharkawy

DOI
https://doi.org/10.3390/axioms12090823
Journal volume & issue
Vol. 12, no. 9
p. 823

Abstract

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In this paper, the quasi-frame and quasi-formulas are introduced in Galilean three-space. In addition, the quasi-Bertrand and the quasi-Mannheim curves are studied. It is proven that the angle between the tangents of two quasi-Bertrand or quasi-Mannhiem curves is not constant. Furthermore, the quasi-involute is studied. Moreover, we prove that there is no quasi-evolute curve in Galilean three-space. Also, we introduce quasi-Smarandache curves in Galilean three-space. Finally, we demonstrate an illustrated example to present our findings.

Keywords