Some results on evolutoids of convex curves in $2$-dimensional space forms

Ady Cambraia Junior, Alessandro Gaio Chimenton, Marco Antônio do Couto Fernandes +1

Let $M_c$ be a $2$-dimensional space form of constant curvature $c=-1,0,1$ and $\gamma$ a smooth, closed, convex curve in $M_c$. We explicitly parametrize the \textit{$\alpha$-evolutoid} of…