3 problems

Korn scaling conjecture. One has

Let $K>0$, let $k\in]0,K[$, and let $\Gamma\subseteq\mathbb{R}^{n+1}$ be a smooth, compact, codimension $2$ curve bounding a compact, locally strictly convex immersed hypersurface…

Almost-flatness conjecture. The Gaussian curvature of $\widetilde{M}$ should be almost flat outside a compact subset of $\widetilde{M}$.