Mannheim Partner D-Curves in Euclidean 3-space

Details Mannheim Partner D-Curves in Euclidean 3-space Mannheim Partner D-Curves in Euclidean 3-space

2010-03-10

arxiv.org/abs/1003.2042v3

Mathematics

Differential Geometry

10 pages

Scientific paper

In this paper we consider the idea of Mannheim partner curves for curves lying on surfaces and by considering the Darboux frames of them we define these curves as Mannheim partner D-curves and give the characterizations for these curves. We also find the relations between the geodesic curvatures, the normal curvatures and the geodesic torsions of these associated curves. Furthermore, we show that the definition and the characterizations of Mannheim partner D-curves include those of Mannheim partner curves in some special cases.

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