Research ArticleNo Access

Singularity properties of null killing magnetic curves in Minkowski 3-space

School of Science, China University of Petroleum (East China), Qingdao 266555, P. R. China

https://doi.org/10.1142/S0219887820501418Cited by:11 (Source: Crossref)

Abstract

We reconstruct the Cartan Equations of null Killing magnetic curve $γ (s)$ in $ℝ_{1}^{3}$ with Killing magnetic vector field $V$ under the new Cartan frame ${γ^{'} (s), V \land γ^{'} (s), V^{'} \land γ^{'} (s) - V}$ , which describe some new geometrical properties of $γ (s)$ . The singularity properties of the rectifying surfaces and the binormal osculating surfaces of null Killing magnetic curves are given. As an application, two examples are given to explain the main results, where the singular loci of null Killing magnetic curves are obtained.

Keywords:

AMSC: 53A35, 83C10, 58C25

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