A Picard theorem with an application to minimal surfaces

Hall, Peter

doi:10.1090/S0002-9947-1989-0978376-6

A Picard theorem with an application to minimal surfaces
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by Peter Hall

Trans. Amer. Math. Soc. 314 (1989), 597-603

DOI: https://doi.org/10.1090/S0002-9947-1989-0978376-6

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Abstract:

We prove a Picard theorem for holomorphic maps from ${\mathbf {C}}$ to a quadric hypersurface. This implies a theorem on the number of directions in general position omitted by the normals to a minimal surface of the conformal type of ${\mathbf {C}}$.

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