Timelike parallel p_i-equidistant ruled surfaces by a timelike base curve in the Minkowski 3-space R^3_1

Abstract

Timelike parallel p_i-equidistant ruled surfaces are introduced and relations about polar planes, natural curvatures and natural torsions are given. In addition, relations between distribution parameters, shape operators, Gaussian and mean curvatures of these ruled surfaces are obtained. After all, an example related to the parallel timelike p₂-equidistant ruled surfaces is given.