On curves and polygons with the equiangular chord property

Tarik Aougab, Xidian Sun, Serge Tabachnikov +1

Let $C$ be a smooth, convex curve on either the sphere ${\mathbb{S}}^2$, the hyperbolic plane ${\mathbb{H}}^2$ or the Euclidean plane ${\mathbb{E}}^2$, with the following property:…