A Bernstein Type Result for Special Lagrangian Submanifolds

Let $\Sigma$ be a complete minimal Lagrangian submanifold of $\C^n$. We identify several 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.

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Published 1 January 2002