CSpace
THE SCHWARZIAN DERIVATIVE IN KAHLER-MANIFOLDS
GONG, S; YU, QH
1995-09-01
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES
ISSN1001-6511
Volume38Issue:9Pages:1033-1048
AbstractLet 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.
KeywordSCHWARZIAN DERIVATIVE KAHLER MANIFOLD HOLOMORPHIC MAPPING
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:A1995RY44400002
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/28548
Collection中国科学院数学与系统科学研究院
AffiliationCHINESE ACAD SCI,INST APPL MATH,BEIJING 100080,PEOPLES R CHINA
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[GONG, S]'s Articles
[YU, QH]'s Articles
Baidu academic
Similar articles in Baidu academic
[GONG, S]'s Articles
[YU, QH]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[GONG, S]'s Articles
[YU, QH]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.