Some Characterizations for Curves by the Help Of Spherical Representations in the Galilean and Pseudo-Galilean Space

TL;DR

This paper investigates specific properties and characterizations of curves within Galilean and Pseudo-Galilean geometries, utilizing spherical representations to deepen understanding of their geometric behavior.

Contribution

It introduces new characterizations of curves in Galilean and Pseudo-Galilean spaces using spherical representations, expanding the geometric analysis in these non-Euclidean contexts.

Findings

Characterizations of curves in Galilean space

Characterizations of curves in Pseudo-Galilean space

Application of spherical representations in these geometries

Abstract

In this paper, we focus on some characterizations for curves in the Galilean and Pseudo-Galilean space.