ON SPHERICAL INDICATRICES AND THEIR SPHERICAL IMAGE OF NULL CURVES IN MINKOWSKI 3-SPACE

Year 2021, Volume: 4 Issue: 2, 209 - 221, 31.07.2021

Arfah Arfah

https://doi.org/10.33773/jum.937457

https://izlik.org/JA98HP93BX

Abstract

In this paper, we investigate the spherical images of null curves and null helixes in Minkowski 3-space. We provide the spherical indicatrices of null curves in Minkowski 3-space with their causal characteristics. We also show the conditions of spherical indicatrices of null curves to be a curve lying on pseudo-sphere in Minkowski 3-space. In addition, we give the properties of spherical indicatrices of null curves satisfying generalized helices and lying on pseudo-sphere in Minkowski 3-space.

Keywords

Null curves , Null Helices , Spherical Indicatrices , Minkowski Space

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