The slant helices according to Bishop frame of the spacelike curve in Lorentzian space

T. Ikawa obtained the following differential equation DTDTDTT-KDTT, K = k2 - r2 for the circular helix which corresponds the case that the curvature k and torsion ? of spacelike curve with a spacelike binormal ? on the Lorentzian manifold M1 are constant [7]. In this paper, we have defined a slant helix according to Bishop frame of the spacelike curve with a spacelike binormal. Furthermore, we have given some necessary and sufficient conditions for the slant helix and T. Ikawa's result is generalized to the case of the general slant helix. © Taru Publications