| 分式线性变换的一种推广及其几何性质 |
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| 引用本文： | 潘国双,邓冠铁.分式线性变换的一种推广及其几何性质[J].北京师范大学学报(自然科学版),2007,43(5):486-489. |
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| 作者姓名： | 潘国双 邓冠铁 |
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| 作者单位： | 北京师范大学数学科学学院,100875,北京;北京服装学院基础部,100029,北京;北京师范大学数学科学学院,100875,北京 |
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| 基金项目： | 国家自然科学基金，教育部留学回国人员科研启动基金 |
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| 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.
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| 关 键 词： | 分式线性变换 推广形式 球几何 微分度量 |
| 修稿时间： | 2006-12-11 |
A KIND OF GENERALIZATION AND ITS GEOMETRIC PROPERTIES OF FRACTIONAL LINEAR TRANSFORMATION |
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| Pan Guoshuang,Deng Guantie.A KIND OF GENERALIZATION AND ITS GEOMETRIC PROPERTIES OF FRACTIONAL LINEAR TRANSFORMATION[J].Journal of Beijing Normal University(Natural Science),2007,43(5):486-489. |
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| Authors: | Pan Guoshuang Deng Guantie |
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| Institution: | 1 School of Mathematical Science, Beijing Normal University, 100875, Beijing, China;2 Basic Courses Department, Beijing Institute of Clothing Technology, 100029, Beijing, China |
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| Abstract: | 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. |
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| Keywords: | fractional linear transformation generalization: the geometry of the sphere differential metric |
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