On null and pseudo null Mannheim curves in Minkowski 3-space

Abstract

In this paper, we prove that there are no null Mannheim curves in Minkowski 3-space. We also prove that the only pseudo null Mannheim curves in Minkowski 3-space are pseudo null straight lines and pseudo null circles whose Mannheim partner curves are pseudo null straight lines. Finally, we give some examples of pseudo null Mannheim curves in E^3_1 .