On Timelike Parallel pi-Equidistant Ruled Surfaces with a Timelike Base Curve in the Minkowski 3-Space R3 1

Abstract

In this paper, timelike parallel pi-equidistant ruled surfaces with atimelike base curve are dened and the shape operators, shape tensor, the qth fun-damental forms and the characteristic polynomials of the shape tensors of thesesurfaces are obtained. Then, some relations between them are found. Finally, anexample for the timelike parallel p2 equidistant ruled surfaces by a timelike basecurve in the Minkowski 3-space R31 is given.

Keywords

• Lorentz space
• Minkowski space
• parallel pi-equidistant
• ruled surface
• timelike
• curvatures