Value distribution of the Gauss map of improper affine spheres

DOI10.2969/jmsj/06430799zbMath1252.53009arXiv1004.1484OpenAlexW2154564462MaRDI QIDQ455006

Yu Kawakami, Daisuke Nakajo

Publication date: 2 October 2012

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.1484

zbMATH Keywords

Liouville propertycompleteBernstein type theoremexceptional valueflat frontimproper affine sphereLagrangian Gauss mapweakly complete

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Non-Euclidean differential geometry (53A35) Affine differential geometry (53A15)

Related Items (5)

On the maximal number of exceptional values of Gauss maps for various classes of surfaces ⋮ Remarks on the Gauss images of complete minimal surfaces in Euclidean four-space ⋮ GAUSSIAN CURVATURE AND UNICITY PROBLEM OF GAUSS MAPS OF VARIOUS CLASSES OF SURFACES ⋮ Value distribution for the Gauss maps of various classes of surfaces ⋮ A ramification theorem for the ratio of canonical forms of flat surfaces in hyperbolic three-space

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