Spacelike Curves of Constant-Ratio in Pseudo-Galilean Space

TL;DR

This paper investigates spacelike curves of constant-ratio in pseudo-Galilean space, characterizing their properties via curvature functions and exploring special cases like T and N constant types, with illustrative examples.

Contribution

It provides a new characterization of constant-ratio curves in pseudo-Galilean space using curvature functions and examines special cases with explicit examples.

Findings

Characterization of spacelike constant-ratio curves via curvature functions

Analysis of T and N constant type curves in pseudo-Galilean space

Examples illustrating the theoretical results

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.