摘要
引入了分式线性变换的一种推广形式,讨论了其也可把圆映为圆.并把此变换利用实数形式推广到了n维空间,接着讨论了此变换在n维空间中的球几何和微分度量.
By introducing a kind of generalization of fractional linear transformation, it is discussed that the method can also map a circle into another. Moreover, the transformation is generalized to the n-dimensional space by the real number form, then the geometry of the sphere and the differential metric of the transformation in the n-dimensional space are discussed.
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第5期486-489,共4页
Journal of Beijing Normal University(Natural Science)
基金
国家自然科学基金资助项目(10371011)
教育部留学回国人员科研启动基金资助项目
关键词
分式线性变换
推广形式
球几何
微分度量
fractional linear transformation
generalization
the geometry of the sphere
differential metric
