On dual timelike - spacelike Mannheim partner curves in ID3 1

Abstract

The first aim of this paper is to define the dual timelike -spacelike Mannheim partner curves in Dual Lorentzian Space ID 3 1 , the second aim of this paper is to obtain the relationships between the curvatures and the torsions of the dual timelike -spacelike Mannheim partner curves with respect to each other and the final aim of this paper is to get the necessary and sufficient conditions for the dual timelike -spacelike Mannheim partner curves in ID 3 1 .