Bertrand Partner D ‐Curves in the Euclidean 3‐space 3 E

Authors : Mustafa KAZAZ, Hasan Hüseyin UĞURLU, Mehmet ÖNDER, Seda ORAL

Pages : 76-83

Doi:10.5578/fmbd.25270

View : 39 | Download : 12

Publication Date : 2015-04-30

Article Type : Research Paper

Abstract :In this paper, we consider the idea of Bertrand partner curves for curves lying on surfaces and by considering the Darboux frames of surface curves, we call these curves as Bertrand partner D ‐curves and give the characterizations for these curves by means of the geodesic curvatures, the normal curvatures and the geodesic torsions of these associated curves.
Keywords : Bertrand Partner Curves, Darboux Frame, Geodesic, Principal Line, Asymptotic Curve