Hessian curvature hypersurfaces with prescribed Gauss image

Huang Rongli, Qu Changzheng, Wang Zhizhang +1

In this paper, we investigate Hessian curvature hypersurfaces with prescribed Gauss images. Given geodesically strictly convex bounded domains $\Omega$ in ${\mathbb{R}}^n$ and $\tilde{\Omega }$ i…