Transformations and non-degenerate maps

doi:10.1360/05za0013

	Transformations and non-degenerate maps
	Li, BK ; Wang, YF
刊名	SCIENCE IN CHINA SERIES A-MATHEMATICS
	2005-05-01
卷号	48 页码:195-205
关键词	Mobius transformation circle-preserving map non-degenerate map
ISSN号	1006-9283
DOI	10.1360/05za0013
英文摘要	We shall prove the equivalences of a non-degenerate circle-preserving map and a Mobius transformation in R-n, of a non-degenerate geodesic-preserving map and an isometry in H-n, of a non-degenerate line-preserving map and an affine transformation in R-n. That a map is non-degenerate means that the image of the whole space under the map is not a circle, or geodesic or line respectively. These results hold without either injective or surjective, or even continuous assumptions, which are new and of a fundamental nature in geometry.
WOS研究方向	Mathematics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000230908500013
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/2189]
专题	中国科学院数学与系统科学研究院
通讯作者	Li, BK
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, BK,Wang, YF. Transformations and non-degenerate maps[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2005,48:195-205.
APA	Li, BK,&Wang, YF.(2005).Transformations and non-degenerate maps.SCIENCE IN CHINA SERIES A-MATHEMATICS,48,195-205.
MLA	Li, BK,et al."Transformations and non-degenerate maps".SCIENCE IN CHINA SERIES A-MATHEMATICS 48(2005):195-205.