5 problems

Let $M_t=X(\mathbb{S}^n,t)\subset\mathbb{R}^{n+1}$ be a family of smooth, strictly convex, closed hypersurfaces evolving by Gauss curvature flow, with $K$ the Gauss curvature and…

A translator is a translating solution of Gauss curvature flow, represented as a graph over a domain $\Omega\subset \mathbb{R}^2$. The boundary $\partial\Omega$ is the boundary of…

Let $n\geq 2$ and let $\alpha<\frac{1}{n+2}$. An $\alpha$-translator is a translating soliton in $\mathbb{R}^{n+1}$ for the power of Gauss curvature specified in the paper, and an…

Let $\alpha\in(0,\frac{1}{4})$, and let $X:M^2\times[0,T)\to\mathbb{R}^3$ be a closed solution of the $\alpha$-Gauss curvature flow … where $K$ is the Gauss curvature and $\nu$ is…

Let $M_t\subset\mathbb R^{n+1}$ be a family of convex hypersurfaces evolving under the flow whose speed is the $\alpha$-power of the Gauss curvature, with $\alpha>\frac{1}{n+2}$. R…