K-type slant helices on spacelike and timelike surfaces

Abstract

We have derived a necessary and sufficient condition for a non-null normal spacelike curve lying in a spacelike or a timelike surface (Formula presented) so that the curve becomes a K-type spacelike slant helix with (Formula presented). We have used Darboux frame to define necessary and sufficient conditions. An example is given for a 1-type spacelike slant helix having a spacelike normal and a timelike binormal. © 2021, University of Tartu Press. All rights reserved.