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On instantaneous invariants in dual Lorentzian space kinematics

Ayyildiz N., Yalcin S. N.

Archives of Mechanics

2010

Vol. 62, nr 3

223-238

In this work, we study the concepts of canonical systems and instantaneous invariants in dual Lorentzian space. It gives a systematic approximation about determining the instantaneous invariants. Important for the characterization of higher-order intrinsic properties of a ruled surface, the instantaneous invariants are derived on the basis of line coordinates.

On the Dual Darboux rotation axis of the spacelike Dual space curve

Ayyildiz N., Çöken A. C., Yücesan A.

Demonstratio Mathematica

2004

Vol. 37, nr 1

197--202

In this paper, the Dual Darboux rotation axis for spacelike dual space curve in the semi-dual space D3 is decomposed in two simultaneous rotations. The axis of these simultaneous rotations are joined by a simple mechanism. This study is original corresponding in the semi-dual space D3 of the article entitled On the Dual Darboux Rotation Axis of the Dual Space Curve [6].