On spacelike rectifying slant helices in Minkowski 3-space

Authors

BÜLENT ALTUNKAYA
LEVENT KULA

DOI

10.3906/mat-1705-109

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

First Page

1098

Last Page

1110

Recommended Citation

ALTUNKAYA, BÜLENT and KULA, LEVENT (2018) "On spacelike rectifying slant helices in Minkowski 3-space," Turkish Journal of Mathematics: Vol. 42: No. 3, Article 29. https://doi.org/10.3906/mat-1705-109
Available at: https://journals.tubitak.gov.tr/math/vol42/iss3/29