Structure Functions of Cone Curves in $\mathbb{E}_2^3$ and $\mathbb{E}_2^4$

Year 2021, Volume: 3 Issue: 2, 12 - 23, 27.12.2021

Na Hu , Tingting Zhang

Abstract

This paper studies cone curves by establishing structure functions. The curvature functions of spacelike and timelike cone curves are expressed in the form of structure functions and the relationship between the defined structure functions is obtined. In addition, some characters and structures for cone curves in $\mathbb{E}_2^3$ and $ \mathbb{E}_2^4$ are discussed. Finally, we give some examples.

Keywords

Structure function, cone curve, lightlike cone, cone curvature, cone torsion

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