On pseudohyperbolic space motions
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CitationTurhan, T., Yüksel, N., Ayyıldız, N. (2015). On pseudohyperbolic space motions. Turkish Journal of Mathematics, 39, 5, 750-762.
In the present paper, the geometrical instantaneous invariants of the motion Hm/Hf in dual Lorentzian 3 -space are determined. Depending on this, the dual Lorentzian instantaneous screw axis of the motion of Km with respect to the dual pseudohyperbolic space Km is constructed. On the other hand, we show that, in each position of Hm , the fixed and moving axodes have the instantaneous screw axis of this position in common. We also give relations between the geodetic curvature and the curvature of the polodes.
SourceTurkish Journal of Mathematics