Value distribution of the Gauss map of improper affine spheres
type: Item
instance of: scholarly article
title: Value distribution of the Gauss map of improper affine spheres
zbMATH Open document ID: 1252.53009
author: Yu Kawakami
author: Daisuke Nakajo
published in: Journal of the Mathematical Society of Japan
publication date: 2012-10-02T00:00:00Z
full work available at URL: https://arxiv.org/abs/1004.1484
full work available at URL: https://projecteuclid.org/euclid.jmsj/1343133744
review text: 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 \(\mathbb R^3\).
Mathematics Subject Classification ID: 53A15
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 53A35
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 6090093
zbMATH Keywords: improper affine sphere
zbMATH Keywords: Lagrangian Gauss map
zbMATH Keywords: complete
zbMATH Keywords: weakly complete
zbMATH Keywords: exceptional value
zbMATH Keywords: flat front
zbMATH Keywords: Bernstein type theorem
zbMATH Keywords: Liouville property
reviewed by: Huili Liu
MaRDI profile type: Publication
OpenAlex ID: W2154564462
arXiv ID: 1004.1484
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DOI: 10.2969/JMSJ/06430799
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