On generalized partially null Mannheim curves in minkowski space-time

Abstract

© 2016, Institute of Mathematics. All rights reserved. In this paper we define generalized partially null and pseudo null Mannheim curves in Minkowski space-time E 41. We prove that there are no non-geodesic generalized partially null Mannheim curves in E 41, by considering the cases when the corresponding mate curve is a spacelike, timelike, null Cartan, partially null or pseudo null Frenet curve. We also answer the question: ”Can a partially null Frenet curve be a generalized mate curve of the generalized pseudo null Mannheim curve in Minkowski space-time?”.