Geometry of Admissible Curves of Constant-Ratio in Pseudo-Galilean Space

Saad, M. Khalifa; Abdel-Aziz, H. S.; Ali, Haytham A.

doi:10.28924/2291-8639-21-2023-102

Research Article

Geometry of Admissible Curves of Constant-Ratio in Pseudo-Galilean Space

M. Khalifa Saad*
H. S. Abdel-Aziz
Haytham A. Ali

* Corresponding author

Abstract

An admissible curve of a pseudo-Galilean space is said to be of constant-ratio if the ratio of the length of the tangent and normal components of its position vector function is a constant. In this paper, we investigate and characterize a spacelike admissible curve of constant-ratio in terms of its curvature functions in the pseudo-Galilean space G¹₃. Also, we study some special curves of constantratio such as T-constant and N-constant types of these curves. Finally, we give some computational examples for constructing the meant curves to demonstrate our theoretical results.

How to Cite

M. K. Saad, H. S. Abdel-Aziz, H. A. Ali, Geometry of Admissible Curves of Constant-Ratio in Pseudo-Galilean Space, Int. J. Anal. Appl. 21 (2023), 102. https://doi.org/10.28924/2291-8639-21-2023-102

BibTeX

@article{Saad2023,
  author  = {Saad, M. Khalifa and Abdel-Aziz, H. S. and Ali, Haytham A.},
  title   = {Geometry of Admissible Curves of Constant-Ratio in Pseudo-Galilean Space},
  journal = {Int. J. Anal. Appl.},
  volume  = {21},
  year    = {2023},
  pages   = {102},
  doi     = {10.28924/2291-8639-21-2023-102}
}

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