Bertrand Partner D-Curves in Minkowski 3-space
Differential Geometry
2010-07-14 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1003.2048,
title = {Bertrand Partner D-Curves in Minkowski 3-space},
author = {Mustafa Kazaz and H. Huseyin Ugurlu and Mehmet Onder and Seda Oral},
journal= {arXiv preprint arXiv:1003.2048},
year = {2010}
}
Comments
14 pages