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Erisir, Tulay,Gungor, Mehmet Ali The Honam Mathematical Society 2014 호남수학학술지 Vol.36 No.1
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 $\mathbb{Q}_v$.
Some Characterizations of Quaternionic Rectifying Curves in the Semi-Euclidean Space E(4)(2)
( Tulay Erisir ),( Mehmet Ali Gungor ) 호남수학회 2014 호남수학학술지 Vol.36 No.1
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 n2 of the curve, [1]. In this study, we have obtained some characterizations of semi-real spatial quaternionic rectifying curves in R31. Moreover, by the aid of these characterizations, we have investigated semi real quaternionic rectifying curves in semi-quaternionic space Qu.
HYPERBOLIC SPINOR DARBOUX EQUATIONS OF SPACELIKE CURVES IN MINKOWSKI 3-SPACE
Balci, Yakup,Erisir, Tulay,Gungor, Mehmet Ali Chungcheong Mathematical Society 2015 충청수학회지 Vol.28 No.4
In this paper, we study on spinors with two hyperbolic components. Firstly, we express the hyperbolic spinor representation of a spacelike curve dened on an oriented (spacelike or time-like) surface in Minkowski space ${\mathbb{R}}^3_1$. Then, we obtain the relation between the hyperbolic spinor representation of the Frenet frame of the spacelike curve on oriented surface and Darboux frame of the surface on the same points. Finally, we give one example about these hyperbolic spinors.
HYPERBOLIC SPINOR DARBOUX EQUATIONS OF SPACELIKE CURVES IN MINKOWSKI 3-SPACE
Yakup Balci,Tulay Erisir,Mehmet Ali Gungor 충청수학회 2015 충청수학회지 Vol.28 No.4
In this paper, we study on spinors with two hyperbolic components. Firstly, we express the hyperbolic spinor representation of a spacelike curve defined on an oriented (spacelike or time-like) surface in Minkowski space R. Then, we obtain the relation between the hyperbolic spinor representation of the Frenet frame of the spacelike curve on oriented surface and Darboux frame of the surface on the same points. Finally, we give one example about these hyperbolic spinors.