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

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

References

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