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

被引：4
|
作者：
Kawakami, Yu [1 ]
机构：
[1] Yamaguchi Univ, Grad Sch Sci & Engn, Yamaguchi 7538512, Japan
来源：
GEOMETRIAE DEDICATA | 2014年 / 171卷 / 01期
基金：
日本学术振兴会;
关键词：
Flat front; Weakly complete; Ramification theorem; The Ahlfors islands theorem; Bernstein type theorem; FRONTS;
D O I：
10.1007/s10711-013-9904-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：387 / 396
页数：10
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