Volume, entropy, and diameter in $\mathrm{SO}(p,q+1)$-higher Teichmüller spaces

Filippo Mazzoli, Gabriele Viaggi

We investigate properties of the pseudo-Riemannian volume, entropy, and diameter for convex cocompact representations $\rho :\Gamma \to \mathrm{SO}(p,q+1)$ of closed $p$-manifold groups. In…