, Volume 20, Issue 3, pp 543-550

Evolutes of Hyperbolic Plane Curves

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Abstract

We define the notion of evolutes of curves in a hyperbolic plane and establish the relationships between singularities of these subjects and geometric invariants of curves under the action of the Lorentz group. We also describe how we can draw the picture of an evolute of a hyperbolic plane curve in the Poincaré disk.