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http://dx.doi.org/10.5831/HMJ.2014.36.1.67

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

Erisir, Tulay (Sakarya University, Department of Mathematics)
Gungor, Mehmet Ali (Sakarya University, Department of Mathematics)
Publication Information
Honam Mathematical Journal / v.36, no.1, 2014 , pp. 67-83 More about this Journal
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 $n_2$ of the curve, [1]. In this study, we have obtained some characterizations of semi-real spatial quaternionic rectifying curves in $\mathbb{R}^3_1$. Moreover, by the aid of these characterizations, we have investigated semi real quaternionic rectifying curves in semi-quaternionic space $\mathbb{Q}_v$.
Keywords
semi-quaternionic rectifying curves; semi-real quaternion; semi-Euclidean space;
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