On the Spherical Indicatrices of a Timelike Curve as Generalized Helices in Minkowski 3-Space

Year 2022, Volume: 10 Issue: 1, 50 - 54, 15.04.2022

Arfah Arfah Gül Güner Tuğ

Abstract

In the present paper, we investigate new properties of the spherical indicatrices of a timelike curve in Minkowski 3-space $\mathbb{E}_1^3$. We focus on the conditions of the spherical indicatrix to be a generalized helix depending on its causal character. We also give some integral equations by defining the axis of the helix in the means of the local frame.

Keywords

Null curves, null helices, spherical indicatrices, Minkowski space

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