Some Characteristic Properties of Non-Null Curves in Minkowski 3-Space 𝔼13

Abstract

This paper gives new characteristic properties of non-null spherical and rectifying curves in Minkowski 3-space E13. In the light of the causal characteristics, we give some representations of rectifying non-null curves. Additionally, we proved that the tangential function of every non-null curve fulfills a third-order differential equation. Then, a number of well-known characteristic properties of rectifying, Lorentzian, and hyperbolic spherical curves are consequences of this differential equation.