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

Year 2020, Volume: 22 Issue: 64, 59 - 66, 24.01.2020

Süha Yılmaz

https://doi.org/10.21205/deufmd.2020226407

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

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