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maitani-1982
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論文情報
title
Quasiconformal Deformations of an Arbitrary Riemann Surface and Variational Formulas
contributor.author
米谷,文男
MAITANI,Fumio
subject
quasiconformal mapping
Beltrami differentials
meromorphic differentials
カテゴリ
1982 VOL.31
論文詳細を表示
title
Quasiconformal Deformations of an Arbitrary Riemann Surface and Variational Formulas
contributor.author
米谷,文男
MAITANI,Fumio
subject
quasiconformal mapping
Beltrami differentials
meromorphic differentials
date.accessioned
2009-04-07T06:52:45Z
date.available
2009-04-07T06:52:45Z
date.issued
1983-03
description.abstract
The purpose of this paper is to give variational formulas for Riemann's period matrices and certain kinds of meromorphic differentials on an arbitrary open Riemann surface which is deformed by quasiconformal homeomorphisms depending on a complex parameter. As the quasiconformal deformation, we consider Riemann surfaces with conformal structures decided by Beltrami differentials depending holomorphically on a complex parameter. For the sake of discussion on general open Riemann surfaces, we introduce a notion of behavior spaces in the Hilbert space of first order differential forms. The mapping induced from a quasiconformal homeomorphism preserves the behavior space. Our variational formulas are valid for the class of meromorphic differentials restricted by the behavior space. We shall show examples that each element of our period matrix is holomorphic if branch points and boundary curves vary holomorphically on a covering surface of the complex plane.
description.provenance
Submitted by 附属図書館 KIT-Repository (dspace-admin@jim.kit.ac.jp) on 2009-04-07T06:52:45Z No. of bitstreams: 1 maitani-1982.pdf: 662269 bytes, checksum: 8459c35fc0b87ff97e7eef03d1bdb794 (MD5)
Made available in DSpace on 2009-04-07T06:52:45Z (GMT). No. of bitstreams: 1 maitani-1982.pdf: 662269 bytes, checksum: 8459c35fc0b87ff97e7eef03d1bdb794 (MD5) Previous issue date: 1983-03
format.extent
662269 bytes
format.mimetype
application/pdf
identifier.citation
Reprinted from the Memoirs of the Faculty of Industrial Arts, Kyoto Technical University, Science and Technology, Vol.31 (1982) pp.83-96
identifier.uri
http://hdl.handle.net/10212/1904
language.iso639-2
en
rights.textversion
publisher
type.nii
Journal Article
type
Article