MUSTAFA KAZAZ, H.HÜSEYİNUĞURLU, MEHMETÖNDER, SEDAORAL

BERTRAND PARTNER D-CURVES IN THE MINKOWSKI3-SPACE E3-1

In this paper, we consider the idea of Bertrand curves for curveslying on surfaces in the Minkowski 3-space E3. By considering the Darbouxframe, we define these curves as Bertrand partner D-curves and give the general characterizations for those curves. Then, we find the relations betweenthe geodesic curvatures, the normal curvatures and the geodesic torsions ofthese associated curves in some special cases

Keywords:

Bertrand partner D-curves, Darboux frame, Minkowski 3-space,

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Celal Bayar University, Department of Mathematics, Faculty of Arts and Sciences, Muradiye Campus, Muradiye, Manisa, Turkey. E-mail address: mehmet.onder@cbu.edu.tr E-mail address: mustafa.kazaz@cbu.edu.tr Gazi University, Gazi Faculty of Education, Department of Secondary Education Science and Mathematics Teaching, Mathematics Teaching Program, Ankara, Turkey. E-mail address: hugurlu@gazi.edu.tr