SOME CHARACTERIZATIONS OF QUATERNIONIC RECTIFYING CURVES IN THE SEMI-EUCLIDEAN SPACE 𝔼24

• Journal title : Honam Mathematical Journal
• Volume 36, Issue 1,  2014, pp.67-83
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2014.36.1.67
Title & Authors
SOME CHARACTERIZATIONS OF QUATERNIONIC RECTIFYING CURVES IN THE SEMI-EUCLIDEAN SPACE 𝔼24
Erisir, Tulay; Gungor, Mehmet Ali;

Abstract
The notion of rectifying curve in the Euclidean space is introduced by Chen as a curve whose position vector always lies in its rectifying plane spanned by the tangent and the binormal vector field t and $\small{n_2}$ of the curve, [1]. In this study, we have obtained some characterizations of semi-real spatial quaternionic rectifying curves in $\small{\mathbb{R}^3_1}$. Moreover, by the aid of these characterizations, we have investigated semi real quaternionic rectifying curves in semi-quaternionic space $\small{\mathbb{Q}_v}$.
Keywords
semi-quaternionic rectifying curves;semi-real quaternion;semi-Euclidean space;
Language
English
Cited by
1.
Singularities for One-Parameter Null Hypersurfaces of Anti-de Sitter Spacelike Curves in Semi-Euclidean Space, Journal of Function Spaces, 2016, 2016, 1
2.
On Spatial Quaternionic Involute Curve A New View, Advances in Applied Clifford Algebras, 2017, 27, 2, 1815
3.
Quaternionic osculating curves in Euclidean and semi-Euclidean space, Journal of Dynamical Systems and Geometric Theories, 2016, 14, 1, 65
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