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.

DOI

10.3906/mat-1705-109

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