Some characterizations for a quaternion-valued and dual variable curve
type: Item
instance of: scholarly article
title: Some characterizations for a quaternion-valued and dual variable curve
zbMATH Open document ID: 1416.53004
author: Muge Karadag
author: Ali Ihsan Sivridağ
published in: Symmetry
publication date: 2019-07-10T00:00:00Z
review text: Summary: Quaternions, which are found in many fields, have been studied for a long time. The interest in dual quaternions has also increased after real quaternions. Nagaraj and Bharathi developed the basic theories of these studies. The Serret-Frenet Formulae for dual quaternion-valued functions of one real variable are derived. In this paper, by making use of the results of some previous studies, helixes and harmonic curvature concepts in \(Q_{\mathbb{D}^3}\) and \(Q_{\mathbb{D}^4}\) are considered and a characterization for a dual harmonic curve to be a helix is given.
Mathematics Subject Classification ID: 53A04
zbMATH DE Number: 7078093
zbMATH Keywords: dual quaternion
zbMATH Keywords: helixes
zbMATH Keywords: harmonic curvature
MaRDI profile type: Publication
full work available at URL: sym11020125
OpenAlex ID: W2912678675
cites work: Geometry of quaternionic and pseudo-quaternionic multiplications
cites work: Quaternion valued function of a real variable. Serret-Frenet formulae
Wikidata QID: Q128589713
DOI: 10.3390/SYM11020125
description: scientific article; zbMATH DE number 7078093