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Null Bertrand Curves on Surfaces and their Darboux Frames in Minkowski Space-Time

H. S. Abdel Aziz, M.Khalifa Saad

Abstract


In this paper, we investigated relationships among Darboux frames of the null Bertrand curves with space-like and time-like Bertrand partner curves which lie on a surface in the three-dimensional Minkowski 3-space. Moreover, it is shown that the null Bertrand curve is a null geodesic curve.

Keywords


Minkowski space-time, Darboux frame, Bertrand partner curve, Curvature and torsion.

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