C^n上的分式线性变换群与Mbius变换群

Linear Fractional Transformation Groups and Mbius Transformation Groups on C^n

首先引进Cn 上的M bius变换群GM(Cn)并给出其元素的一般形式 ,再研究M bius变换的不动点性质 ,最后比较 Cn 上的M bius变换群与 Cn 上的分式线性变换群的关系 .

In this paper, we introduce Mbius transformation group GM(C^n) on C^n and obtain the general form of elements in GM(C^n) .And then we study the fixed points of Mbius transformations.In the end we compare Mbius transformation groups on C^n with linear fractional transformation groups on C^n.