English

Spacelike Curves of Constant-Ratio in Pseudo-Galilean Space

Differential Geometry 2022-08-09 v1

Abstract

In the theory of differential geometry curves, a curve is said to be of constant-ratio if the ratio of the length of the tangential and normal components of its position vector function is constant. In this paper, we study and characterize a spacelike admissible curve of constant-ratio in terms of its curvature functions in pseudo-Galilean space. Some special curves of constant-ratio such as T and N constant types are investigated. As an application of our main results, some examples are given.

Keywords

Cite

@article{arxiv.2208.03686,
  title  = {Spacelike Curves of Constant-Ratio in Pseudo-Galilean Space},
  author = {H. S. Abdel-Aziz and M. Khalifa Saad and Haytham. A. Ali},
  journal= {arXiv preprint arXiv:2208.03686},
  year   = {2022}
}