A ramification theorem for the ratio of canonical forms of flat surfaces in hyperbolic three-space

被引：0
|
作者：
Yu Kawakami
机构：
[1] Yamaguchi University,Graduate School of Science and Engineering
来源：
Geometriae Dedicata | 2014年 / 171卷
关键词：
Flat front; Weakly complete; Ramification theorem ; The Ahlfors islands theorem; Bernstein type theorem; Primary 30D35; 53A35; Secondary 53C42;
D O I：
暂无
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学科分类号：
摘要：
We provide an effective ramification theorem for the ratio of canonical forms of a weakly complete flat front in the hyperbolic three-space. Moreover we give the two applications of this theorem, the first one is to show an analogue of the Ahlfors islands theorem for it and the second one is to give a simple proof of the classification of complete nonsingular flat surfaces in the hyperbolic three-space.
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页码：387 / 396
页数：9
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