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

Erisir, Tulay;Gungor, Mehmet Ali

• Accepted : 2013.12.28
• Published : 2014.03.25
• 50 7

#### 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

#### References

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