A characterization of Mobius transformations

被引:5
|
作者
Yang, Shihai [1 ]
机构
[1] Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China
关键词
Mobius transformations; hyperbolic triangle; Lambert quatrilaterals;
D O I
10.3792/pjaa.84.35
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note we will show that an injection of the hyperbolic plane is Mobius if and only if for some 0 < theta < pi, f preserves triangles with an interior angle equal to theta.
引用
收藏
页码:35 / 38
页数:4
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