1. Some Characterizations for a Quaternion-Valued and Dual Variable Curve.
- Author
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Karadag, Muge and Sivridag, Ali Ihsan
- Subjects
- *
QUATERNIONS , *MATHEMATICAL variables , *HELICES (Algebraic topology) , *MATHEMATICAL formulas , *CURVATURE - Abstract
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 D 3 and Q D 4 are considered and a characterization for a dual harmonic curve to be a helix is given. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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