The Schwarzian derivative in several complex variables (III)

CSpace

	The Schwarzian derivative in several complex variables (III)
	Gong, S ; Zheng, XA ; Yu, QH
	1998-02-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	41 期号:2 页码:158-171
摘要	In the point view of Lie group, the cross ratio and Schwarzian derivative in C-n are defined and discussed, especially the Schwarzian derivative of holomorphic mappings on the domains in matrix space C-mxn is defined and discussed. It is proved that it is invariant up to similarity under the group of holomorphic automorphism of the Grassmann manifold CG(m, n). And it is also proved that the Schwarzian derivative equals zero if and only if the mapping is linearly fractional.
关键词	cross ratio Schwarzian derivative regular trajectory
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000071614800006
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13410
专题	中国科学院数学与系统科学研究院
通讯作者	Gong, S
作者单位	1.Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China 2.Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Gong, S,Zheng, XA,Yu, QH. The Schwarzian derivative in several complex variables (III)[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,1998,41(2):158-171.
APA	Gong, S,Zheng, XA,&Yu, QH.(1998).The Schwarzian derivative in several complex variables (III).SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,41(2),158-171.
MLA	Gong, S,et al."The Schwarzian derivative in several complex variables (III)".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 41.2(1998):158-171.