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- W2154564462 abstract "We give the best possible upper bound for the number of exceptional values of the Lagrangian Gauss map of complete improper affine fronts in the affine three-space. We also obtain the sharp estimate for weakly complete case. As an application of this result, we provide a new and simple proof of the parametric affine Bernstein problem for improper affine spheres. Moreover, we get the same estimate for the ratio of canonical forms of weakly complete flat fronts in hyperbolic three-space." @default.
- W2154564462 created "2016-06-24" @default.
- W2154564462 creator A5011954268 @default.
- W2154564462 creator A5016267648 @default.
- W2154564462 date "2012-07-01" @default.
- W2154564462 modified "2023-09-28" @default.
- W2154564462 title "Value distribution of the Gauss map of improper affine spheres" @default.
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- W2154564462 doi "https://doi.org/10.2969/jmsj/06430799" @default.
- W2154564462 hasPublicationYear "2012" @default.
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