3. Geometry

Problem 3.1.
[Qing Han] (Problem originally proposed by FangHua Lin) Let $(T^2,g_0) \subseteq (\mathbb R^3, g_{\mathrm{eucl}})$ be an isometric embedding and $g$ be a metric on $T^2$ which is $C^0$ close to $g_0$. Is there an isometric embedding of $(T^2,g)$ in $\mathbb R^3$?
Cite this as: AimPL: Nonlinear PDEs in real and complex geometry, available at http://aimpl.org/nonlinpdegeom.