NOTE ON BERTRAND B-PAIRS OF CURVES IN MINKOWSKI 3-SPACE

Abstract

In this paper, we defi ne null Cartan and pseudo null Bertrand curves in Minkowski space E31 according to their Bishop frames. We obtain the necessary and su cient conditions for pseudo null curves to be Bertand B-curves in terms of their Bishop curvatures. We prove that there are no null Cartan curves in Minkowski 3-space which are Bertrand B-curves, by considering the cases when their Bertrand B-mate curves are spacelike, timelike, null Cartan and pseudo null curves. Finally, we give some examples of pseudo null Bertrand B-curve pairs.