On spacelike rectifying slant helices in Minkowski 3-space

Authors: BÜLENT ALTUNKAYA, LEVENT KULA

Abstract: In this paper, we study the position vector of a spacelike rectifying slant helix with non-lightlike principal normal vector field in $E_1^3$. First we find the general equations of the curvature and the torsion of spacelike rectifying slant helices. After that, we construct second-order linear differential equations. By their solutions, we determine families of spacelike rectifying slant helices that lie on cones.

Keywords: Spacelike curve, rectifying curve, slant helix, cone

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