Bertrand Partner D-Curves in Minkowski 3-space

Details Bertrand Partner D-Curves in Minkowski 3-space Bertrand Partner D-Curves in Minkowski 3-space

2010-03-10

arxiv.org/abs/1003.2048v3

Mathematics

Differential Geometry

14 pages

Scientific paper

In this paper, we consider the idea of Bertrand curves for curves lying on surfaces in Minkowski 3-space. By considering the Darboux frame, we define these curves as Bertrand D-curves and give the characterizations for those 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 in Minkowski 3-space, the definition and the characterizations of Bertrand D-curves include those of Bertrand curves in some special cases.

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