A collapsing ancient solution of mean curvature flow in ${\mathbb{R}}^3$

Theodora Bourni, Mat Langford, Giuseppe Tinaglia

We construct a compact, convex ancient solution of mean curvature flow in ${\mathbb{R}}^{n+1}$ with $O(1)\times O(n)$ symmetry that lies in a slab of width $\pi$. We provide detailed as…