The Characterizations For The Spherical Images of Timelike W-Curves in Minkowski Space-Time

Authors : Süha YILMAZ

Pages : 59-66

Doi:10.21205/deufmd.2020226407

View : 15 | Download : 7

Publication Date : 2020-01-24

Article Type : Research Paper

Abstract :We know that W-curve is a curve which has constant Frenet curvatures. In this study, firstly, we have investigated the principal normal and binormal spherical images of a timelike W-curve on pseudohyperbolic space  in Minkowski space-time . Besides, the binormal spherical image of the timelike W-curve is a spacelike curve which lies on pseudohyperbolic space  Hence, we have obtained the Frenet-Serret invariants of the mentioned image curve in terms of the invariants of the timelike W-curve in the same space. Finally, we have given some characterizations of the spherical image in the case of being helix for the timelike W-curve in Minkowski space-time .
Keywords : Spherical Images, Timelike W Curve, General Helix