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3. Geometry

    1. Problem 3.1.

      [Qing Han] (Problem originally proposed by Fang-Hua 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.