On the developable time-like trajectory ruled surfaces in a Lorentz 3-space R13

摘要

In this paper, the trajectory ruled surface in a Lorentz space in R13 is given by a firmly connected time-like oriented line moving with Frenet's frame along space-like curve. Some theorems and results between curvatures of the base curve and distribution parameter of this surface are obtained. And also, some relationships among geodesic curvature, normal curvature, geodesic torsion and the curvatures of space-like the base curve of a time-like trajectory ruled surface are found.