On pseudohyperbolic space motions

In the present paper, the geometrical instantaneous invariants of the motion H-m/H-f in dual Lorentzian 3-space are determined. Depending on this, the dual Lorentzian instantaneous screw axis of the motion of K-m with respect to the dual pseudohyperbolic space K-m is constructed. On the other hand, we show that, in each position of H-m, 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