On minimal graphs of sublinear growth over manifolds with non-negative Ricci curvature

Giulio Colombo, Luciano Mari, Marco Rigoli

We prove that entire solutions of the minimal hypersurface equation \[ \mathrm{div}\left(\frac{Du}{\sqrt{1+|Du|^2}}\right) = 0 \] on a complete manifold with $\mathrm{Ric}\ge 0$,…