Integrably asymptotic affine homeomorphisms of the circle and Teichmuller spaces

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	Integrably asymptotic affine homeomorphisms of the circle and Teichmuller spaces
	Cui, GZ
	2000-03-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	43 期号:3 页码:267-279
摘要	A quasisymmetric homeomorphism of the unit circle S-1 is called integrably asymptotic affine if it admits a quasiconformal extension into the unit disk so that its complex dilatation is square integrable in the Poincare metric on the unit disk. Let QS() (S-1) be the space of such maps. Here we give some characterizations and properties of maps in QS() (S-1). We also show that QS(*) (S-1)/Mob (S-1) is the completion of Diff(S-1)/Mob(S-1) in the Well-Petersson metric.
关键词	Teichmuller space Weil-Petersson metric
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000086745300005
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/15806
专题	数学所
通讯作者	Cui, GZ
作者单位	Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Cui, GZ. Integrably asymptotic affine homeomorphisms of the circle and Teichmuller spaces[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2000,43(3):267-279.
APA	Cui, GZ.(2000).Integrably asymptotic affine homeomorphisms of the circle and Teichmuller spaces.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,43(3),267-279.
MLA	Cui, GZ."Integrably asymptotic affine homeomorphisms of the circle and Teichmuller spaces".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 43.3(2000):267-279.