Time-Like Sweeping Surfaces with a Bishop Frame in the Minkowski 3-Space E13

摘要

In this paper, we consider a time-like sweeping surface and its local singularities with Bishop frame in Minkowski 3-space E13. Subsequently, we derive the sufficient and necessary conditions for this surface to be spacelike developable ruled surface. In particular, we mainly focus on the study for the resulting spacelike developable surface is a cylinder, cone or tangent surface. Finally, some representative curves are chosen to construct the corresponding spacelike developable surfaces.