Asymptotic Plateau problem for $3$-convex hypersurface in ${\mathbb{H}}^5$

Zhenan Sui

We prove the existence of a smooth complete $3$-convex hypersurface which satisfies prescribed curvature equation $\prod _{i=1}^n(H-{\kappa }_i)=((n-1)\sigma {)}^n$ for $n…