Convexity of asymptotic geodesics in Hilbert Geometry

Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas

If $\Omega$ is the interior of a convex polygon in ${\mathbb{R}}^2$ and $f,g$ two asymptotic geodesics, we show that the distance function $d\left(f\left(t\right),g\left(t\right)\right)…