On the osculator Lorentz spheres of timelike parallel p_i-equidistant ruled surfaces in the Minkowski 3-space R_1^3

Abstract

In this paper, we present radii and curvature axes of osculator Lorentz spheres of the timelike parallel p_i-equidistant ruled surfaces with a timelike base curve in the Minkowski 3-space R₁³ and give the arc lengths of indicatrix curves of timelike base curves of these surfaces.