On Timelike Parallel pi-Equidistant Ruled Surfaces with a Timelike Base Curve in the Minkowski 3-Space R13

Abstract

In this paper, timelike parallel pi-equidistant ruled surfaces with a timelike base curve are defined and the shape operators, shape tensor, the qth fundamental forms and the characteristic polynomials of the shape tensors of these surfaces are obtained. Then, some relations between them are found. Finally, an example for the timelike parallel p2 equidistant ruled surfaces by a timelike base curve in the Minkowski 3-space R-1(3) is given.