arXiv subjects

Tülay Soyfidan

Publications and source records attributed to Tülay Soyfidan.

4 recordsLinked to original sources

arXiv2013

Some Characterizations of Quaternionic Rectifying Curves in the semi_Euclidean Space E^2_4

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. In this study, we have obtained some characterizations of semi-real spatial quaternionic rectifying curves in R_1^3. Moreover, by the aid of these characterizations, we have investigated semi real quaternionic rectifying curves in semi-quaternionic space Q_v.

math.GT↗

arXiv2013

On the Quaternionic Involute-Evolute Curves

In this study, after introducing algebraic properties of real quaternions some characterizations of quaternionic involute-evolute curves in Q are obtained. And some results and theorems for quaternionic w-curves are given. Lastly, we illustrate some examples and draw their figures with Mathematica Programme.

math.GT↗

arXiv2013

On Dual Lorentzian Homothetic Exponential Motions with One Parameter

In this study, the concept of dual Lorentzian homotetic exponential motions in is discussed and their velocities, accelerations obtained. Also, some geometric results between velocity and acceleration vectors of a point in a spatial motion are obtained. Finally, the theorems related to acceleration and acceleration centres is given.

math.GT↗

arXiv2013

On the Quaternionic Curves in the Semi-Euclidean Space E_2^4

In this study, we try to semi-real quaternionic curves in the semi-Euclidean space E_2^4. Firstly, we introduce algebraic properties of semi-real quaternions. And then, we give some characterizations of semi-real quaternionic involute-evolute curves in the semi-Euclidean space E_2^4. Lastly, we illustrate some examples and draw their figures with Mathematica Programme.

math.GT↗