Mannheim partner D-curves in the Euclidean 3-space E3

Abstract

In this paper, we consider the idea of Mannheim partner curves for curves lying on surfaces. By considering the Darbouxframes of surface curves, we define Mannheim partner D-curves and give the characterizations for these curves. We also find therelations between geodesic curvatures, normal curvatures and geodesic torsions of these associated curves. Furthermore, we show thatdefinition and characterizations of Mannheim partner D-curves include those of Mannheim partner curves in some special cases