A characterization of Mobius transformations

作者：Yang Shihai^*

来源：Proceedings of the Japan Academy Series A-Mathematical Sciences, 2008, 84(2): 35-38.

• Mobius transformations
• hyperbolic triangle
• Lambert quatrilaterals

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.

• 出版日期2008-2
• 单位上海财经大学