A Picard theorem with an application to minimal surfaces. II

Hall, Peter

doi:10.1090/S0002-9947-1991-1013332-2

A Picard theorem with an application to minimal surfaces. II
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Trans. Amer. Math. Soc. 325 (1991), 895-902 Request permission

Abstract:

Let $f:{\mathbf {C}} \to {{\mathbf {R}}^n}$ be a parabolic minimal surface such that the normals to $f$ omit $n + k$ directions in general position, $k \geq 0$. We obtain sharp bounds on the dimension of the affine span of $f$ and of the linear span of the Gauss map of $f$.

References

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Lectures on minimal submanifolds