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

Volume: 2 Number: 1 June 1, 2014
MUSTAFA Kazaz , H.HÜSEYİNUĞURLU , MEHMETÖNDER , SEDAORAL
EN

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

Abstract

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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Vancouver
1.MUSTAFA Kazaz, H.HÜSEYİNUĞURLU , MEHMETÖNDER , SEDAORAL . BERTRAND PARTNER D-CURVES IN THE MINKOWSKI3-SPACE E3-1. Math. Sci. Appl. E-Notes. 2014 Jun. 1;2(1):68-82. doi:10.36753/mathenot.207634