## On the involute and evolute curves of the timelike curve in Minkowski 3-space.(English)Zbl 1138.53019

The authors consider the involute and evolute curves of a time-like curve $$\alpha$$. They express the Frenet frame of the involute curve $$\beta$$ of $$\alpha$$ in terms of the curvature and torsion of $$\alpha$$. They also obtain the transformation matrix between the Frenet frames of the space-like curve $$\beta$$ of a unit speed time-like curve $$\alpha$$ and they compute the curvature and torsion of $$\beta$$.

### MSC:

 53A40 Other special differential geometries 53B30 Local differential geometry of Lorentz metrics, indefinite metrics

### Keywords:

time-like curve; involute; evolute, Minkowski 3-space
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