A Bernstein type result for special Lagrangian submanifolds
  Let \Sigma be a complete minimal Lagrangian submanifold of \C^n.   We identify regions in the Grassmannian of Lagrangian subspaces so that whenever the image of the Gauss map of \Sigma lies in one of these regions, then \Sigma is an affine space. 
Mao-Pei Tsui & Mu-Tao Wang