On the spherical curves and Bertrand curves in Minkowski-3 space

Abstract

Bertrand curves corresponding to the spherical curves in E${{}^3}$ are given in $\left[ 1\right] .$ In this paper, we apply the method of constructing Bertrand curves from the spherical curves to the curves in 3 dimensional Minkowski space. We also investigate the Bertrand curves corresponding to the spherical indicatrices of spacelike and timelike curves.