Value distribution of the Gauss map of improper affine spheres (Q455006)
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scientific article; zbMATH DE number 6090093
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Value distribution of the Gauss map of improper affine spheres |
scientific article; zbMATH DE number 6090093 |
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Value distribution of the Gauss map of improper affine spheres (English)
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2 October 2012
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An improper affine sphere is an affine sphere with constant affine normal. The study of the improper affine spheres is related to the Monge-Ampère equation, minimal surfaces, Lagrangian immersions, fronts, etc. The authors give some results concerning the value distribution properties of the Lagrangian Gauss map of improper affine fronts in affine 3-space \(\mathbb R^3\).
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improper affine sphere
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Lagrangian Gauss map
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complete
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weakly complete
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exceptional value
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flat front
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Bernstein type theorem
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Liouville property
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0.91498613
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0.9080047
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0.89280474
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0.8865148
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0.88056695
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0.87221146
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