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arXiv · 1707.04118

Value distribution for the Gauss maps of various classes of surfaces

Yu Kawakami
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Abstract

We present in this article a survey of recent results in value distribution theory for the Gauss maps of several classes of immersed surfaces in space forms, for example, minimal surfaces in Euclidean $n$-space ($n$=3 or 4), improper affine spheres in the affine 3-space and flat surfaces in hyperbolic 3-space. In particular, we elucidate the geometric background of their results.

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Yu Kawakami. 2017-07-12. Value distribution for the Gauss maps of various classes of surfaces. https://arxiv.org/abs/1707.04118

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