Some characterizations of dual curves in dual 3-space $ \mathbb{D}^{3} $

Some characterizations of dual curves in dual 3-space $ \mathbb{D}^{3} $

In this work, we prove that the ratio of torsion and curvature of any dual rectifying curve is a non-constant linear function of its dual arc length parameter. Thereafter, a dual differential equation of third order is constructed for every dual curve. Then, several well-known characterizations of d...

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Bibliographic Details
Main Authors: Rashad Abdel-Baky, Mohamed Khalifa Saad
Format: Article
Language:English
Published: AIMS Press 2021-01-01
Series:AIMS Mathematics
Subjects:
e. study map
serret–frenet formulae
rectifying dual curve
dual helices
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021200?viewType=HTML

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http://www.aimspress.com/article/doi/10.3934/math.2021200?viewType=HTML

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