Some characterizations of Mannheim partner curves in the minkowski 3-space E 3 1 ; [Mannheimi partnerkõverate iseloomustus Minkowski 3-ruumis E 3 1 ]
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Date
2011
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Abstract
In this paper, we give some characterizations of Mannheim partner curves in the Minkowski 3-space E 3 1. Firstly, we classify these curves in E 3 1. Next, we give some relationships characterizing these curves and we show that the Mannheim theorem is not valid for the Mannheim partner curves in E 3 1. Moreover, by considering the spherical indicatrix of the Frenet vectors of those curves, we obtain some new relationships between the curvatures and torsions of the Mannheim partner curves in E 3 1.