Optimal isoperimetric inequalities for complete proper minimal submanifolds in hyperbolic space

Sung-Hong Min, Keomkyo Seo

Let $\Sigma$ be a $k$-dimensional complete proper minimal submanifold in the Poincaré ball model $B^n$ of hyperbolic geometry. If we consider $\Sigma$ as a subset of the unit ball $B^n$ in E…