The non-arithmetic cusped hyperbolic 3-orbifold of minimal volume

Simon T. Drewitz, Ruth Kellerhals

We show that the 1-cusped quotient of the hyperbolic space ${\mathbb{H}}^3$ by the tetrahedral Coxeter group ${\Gamma }_{\ast }=[5,3,6]$ has minimal volume among all non-arithmetic cusped hyperbol…