Branched coverings from finite geometric type surfaces to the unit sphere that extend smoothly to the compact surface omit at most two points, generalizing the little Picard theorem.
Osserman: Global properties of minimal surfaces in E3 and En
2 Pith papers cite this work. Polarity classification is still indexing.
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math.DG 2years
2019 2verdicts
UNVERDICTED 2representative citing papers
Extends Jorge-Mercuri theorem to show hyperbolic Gauss map of CMC-1 surfaces with finite total curvature in H^3 and S^3_1 omits at most 2 points.
citing papers explorer
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On the Gauss map of finite geometric type surfaces
Branched coverings from finite geometric type surfaces to the unit sphere that extend smoothly to the compact surface omit at most two points, generalizing the little Picard theorem.
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A Picard type theorem for Hyperbolic Gauss Map of CMC-1 Surfaces in Hyperbolic 3-space and de Sitter 3-space
Extends Jorge-Mercuri theorem to show hyperbolic Gauss map of CMC-1 surfaces with finite total curvature in H^3 and S^3_1 omits at most 2 points.