Special motions for spacelike curve in Minkowski 3-space

Abstract

Existence of acceleration pole points in special Frenet and Bishop motions for spacelike curve with a spacelike binormal in Minkowski 3-space E31 are dependence into that, the curve ® is not a general helix or planar. The ratio of torsion and curvature is by taking as a constant or non constant in our study. Then we show that, if the ratio of curvatures is constant, then there is not acceleration pole points of motion.