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In this paper, the Dual Darboux rotation axis for timelike dual space curve in the semi-dual space D 3 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 3 1 of the article entitled On the Dual Darboux Rotation Axis of the Dual(More)
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)
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