WEKO3
アイテム
Quasiconformal Deformations of an Arbitrary Riemann Surface and Variational Formulas
http://hdl.handle.net/10212/1904
http://hdl.handle.net/10212/19042f2edc5d-8f6d-43e0-9e26-2020942cd122
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
maitani-1982.pdf (646.7 KB)
|
|
| Item type | 論文 / Article(1) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2010-04-21 | |||||||||
| タイトル | ||||||||||
| タイトル | Quasiconformal Deformations of an Arbitrary Riemann Surface and Variational Formulas | |||||||||
| 言語 | en | |||||||||
| 作成者 |
米谷, 文男
× 米谷, 文男
|
|||||||||
| アクセス権 | ||||||||||
| アクセス権 | open access | |||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||
| 主題 | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | quasiconformal mapping | |||||||||
| 主題 | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Beltrami differentials | |||||||||
| 主題 | ||||||||||
| 言語 | en | |||||||||
| 主題Scheme | Other | |||||||||
| 主題 | meromorphic differentials | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | 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. | |||||||||
| 言語 | en | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | Reprinted from the Memoirs of the Faculty of Industrial Arts, Kyoto Technical University, Science and Technology, Vol.31 (1982) pp.83-96 | |||||||||
| 言語 | en | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | 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) | |||||||||
| 言語 | en | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | 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 | |||||||||
| 言語 | en | |||||||||
| 日付 | ||||||||||
| 日付 | 1983-03 | |||||||||
| 日付タイプ | Issued | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| 資源タイプ | journal article | |||||||||
| 出版タイプ | ||||||||||
| 出版タイプ | VoR | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
| 収録物名 | ||||||||||
| 収録物名 | Reprinted from the Memoirs of the Faculty of Industrial Arts, Kyoto Technical University, Science and Technology | |||||||||
| 言語 | en | |||||||||
| 巻 | ||||||||||
| 巻 | 31 | |||||||||
| 開始ページ | ||||||||||
| 開始ページ | 83 | |||||||||
| 終了ページ | ||||||||||
| 終了ページ | 96 | |||||||||
