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maitani-1986
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論文情報
title
Abelian Teichmüller disks restricted by behavior
contributor.author
米谷,文男
MAITANI,Fumio
subject
Riemann surface
quasiconformal mapping
Beltrami differential
Teichmüller disk
Torelli's theorem
カテゴリ
1986 VOL.35
論文詳細を表示
title
Abelian Teichmüller disks restricted by behavior
contributor.author
米谷,文男
MAITANI,Fumio
subject
Riemann surface
quasiconformal mapping
Beltrami differential
Teichmüller disk
Torelli's theorem
date.accessioned
2009-04-07T07:01:48Z
date.available
2009-04-07T07:01:48Z
date.issued
1987-03
description.abstract
We shall investigate quasiconformal deformations of arbitrary Riemann surfaces whose Riemannian metrics are given by Beltrami differentials with complex parameters in the unit disk, where the Beltrami differentials are represented by certain holomorphic differentials with restricted boundary behavior. They are so called Abelian Teichmüller disks. For the sake of discussion on general open Riemann surfaces, we consider two types of boundary behavior. The one is based on Dirichlet finite harmonic differentials with integral periods and the other is based on holomorphic differentials with normal behavior. By using the arguments of F.Gardiner and I.Kra on punctured Riemann surfaces, we shall discuss extremal quasiconformal mappings in Torelli space, variational formulas of the norms of our restricted holomorphic differentials and Torelli's theorem on our Abelian Teichmüller disks of an arbitrary Riemann surface.
description.provenance
Submitted by 附属図書館 KIT-Repository (dspace-admin@jim.kit.ac.jp) on 2009-04-07T07:01:48Z No. of bitstreams: 1 maitani-1986.pdf: 535259 bytes, checksum: 7745eb9833c65579e181c58ee66f3d29 (MD5)
Made available in DSpace on 2009-04-07T07:01:48Z (GMT). No. of bitstreams: 1 maitani-1986.pdf: 535259 bytes, checksum: 7745eb9833c65579e181c58ee66f3d29 (MD5) Previous issue date: 1987-03
format.extent
535259 bytes
format.mimetype
application/pdf
identifier.citation
Reprinted from the Memoirs of the Faculty of Engineering and Design, Kyoto Institute of Technology, Series of Science and Technology, Vol.35 (1986) pp.1-11
identifier.uri
http://hdl.handle.net/10212/1906
language.iso639-2
en
rights.textversion
type.nii
Journal Article
type
Article