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In this paper, the Dual Darboux rotation axis for timelike dual space curve in the semi-dual space D 1 is decomposed in two simultaneous rotation. The axis of these simultaneous rotations are joined by a simple mechanism. This study is original corresponding in the semi-dual space D 1 of the article entitled On the Dual Darboux Rotation Axis of the Dual… (More)

- Ahmet Yücesan, Nihat Ayyildiz, Ceylan ÇÖKEN, Süleyman Demirel
- 2014

We give some characterizations of the rectifying curves in the dual space and show that rectifying dual space curves can be stated with the aid of dual unit spherical curves. Thus, we have a link between rectifying dual space curves and classical surfaces in the Euclidean three-space.

We derive the equations of Gauss and Weingarten for a non-degenerate hypersurface of a semi-Riemannian manifold admitting a semi-symmetric metric connection, and give some corollaries of these equations. In addition, we obtain the equations of Gauss curvature and Codazzi-Mainardi for this non-degenerate hypersurface and give a relation between the Ricci and… (More)

In this paper, a system of differential equations determining timelike and spacelike ruled surfaces are established in the lines space, using the invariant quantities of a given geodesic curves on the surface in Lorentz space. The solution of the system of differential equations are obtained in spacial cases and as relation of this solutions are given… (More)

- Ahmet Yücesan, A. Ceylan Çöken, Nihat Ayyildiz
- Applied Mathematics and Computation
- 2004

In this paper, the Darboux rotation axis for a curve in Lorentz space is decomposed into two simultaneous rotation. The axes of these simultaneous rotations are joined by a simple mechanism. One of these axes is a parallel of the principal normal of the Lorentz space curve, the direction of the other is the direction of the Darboux vector of Lorentz space… (More)

- Ahmet Yücesan, A. Ceylan Çöken, Nihat Ayyildiz, Gerald S. Manning
- Applied Mathematics and Computation
- 2004

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