THE SCHWARZIAN DERIVATIVE IN KAHLER-MANIFOLDS

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	THE SCHWARZIAN DERIVATIVE IN KAHLER-MANIFOLDS
	GONG, S; YU, QH
	1995-09-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES
ISSN	1001-6511
卷号	38 期号:9 页码:1033-1048
摘要	Let f be a holomorphic immersion which maps a Kahler manifold into a Kahler manifold of the same dimension. A Schwarzian derivative S-f of f is proposed. It is proved that: i) if S-f=0 and S-theta=0, then S-f . g=0; ii) if the real part of the Schwarzian derivative off on a convex domain in the Kaler manifold is bounded above, then f is an embedding. The upper bound is related to the holomorphic sectional curvature of the domain. This second theorem is an extension of Nehari's criterion of univalence.
关键词	SCHWARZIAN DERIVATIVE KAHLER MANIFOLD HOLOMORPHIC MAPPING
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:A1995RY44400002
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/28548
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	CHINESE ACAD SCI,INST APPL MATH,BEIJING 100080,PEOPLES R CHINA
推荐引用方式 GB/T 7714	GONG, S,YU, QH. THE SCHWARZIAN DERIVATIVE IN KAHLER-MANIFOLDS[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES,1995,38(9):1033-1048.
APA	GONG, S,&YU, QH.(1995).THE SCHWARZIAN DERIVATIVE IN KAHLER-MANIFOLDS.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES,38(9),1033-1048.
MLA	GONG, S,et al."THE SCHWARZIAN DERIVATIVE IN KAHLER-MANIFOLDS".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES 38.9(1995):1033-1048.