Some characterizations of non-null rectifying curves in dual Lorentzian 3-space $\mathbb{D}_{1}^{3}

Some characterizations of non-null rectifying curves in dual Lorentzian 3-space $\mathbb{D}_{1}^{3}

This paper gives several properties and characterization of non-null rectifying curves in dual Lorentzian 3-space $\mathbb{D% }_{1}^{3}$. In considering a causal character of a dual curve we give some parameterization of rectifying dual curves, and a dual differential equation of third order is cons...

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Bibliographic Details
Published in:AIMS mathematics Vol. 6; no. 3; pp. 2114 - 2131
Main Author: Makki, Roa
Format: Journal Article
Language:English
Published: AIMS Press 01-01-2021
Subjects:
dual helices
rectifying dual curve
serret-frenet formulae
Online Access:Get full text
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Summary:This paper gives several properties and characterization of non-null rectifying curves in dual Lorentzian 3-space $\mathbb{D% }_{1}^{3}$. In considering a causal character of a dual curve we give some parameterization of rectifying dual curves, and a dual differential equation of third order is constructed for every non-null dual curve. Then several well-known characterizations of spherical, normal and rectifying dual curves are consequences of this differential equation.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021129