Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems

Qi-Rui Li, Weimin Sheng, Xu-Jia Wang

In this paper we study a contracting flow of closed, convex hypersurfaces in the Euclidean space ${\mathbb{R}}^{n+1}$ with speed $f{r}^{\alpha }K$, where $K$ is the Gauss curvature, $r$ is th…