THE RELATIONS AMONG INSTANTANEOUS ROTATION VECTORS OF A PARALLEL TIMELIKE RULED SURFACE

Abstract

In this paper, geometric invariants of a parallel timelike ruled surface with a timelike ruling have been given in terms of those of the main surface.The instantaneous velocities for Frenet, Darboux and Blaschke trihedrons ofa parallel timelike ruled surface have been calculated by using their derivativeformulas. The relations among dual Lorentzian instantaneous rotation vectorshave been obtained for these trihedrons