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On Quadratic Differential Metrics on a Closed Riemann Surface
http://hdl.handle.net/2261/59056
http://hdl.handle.net/2261/59056a35e438f-5fdf-4de9-9d7a-5b2c08aed230
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms210202.pdf (125.0 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2015-12-15 | |||||
| タイトル | ||||||
| タイトル | On Quadratic Differential Metrics on a Closed Riemann Surface | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Holomorphic quadratic differential | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | length distortion | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Lipschitz constant | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | metric topology | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Sun, Zongliang
× Sun, Zongliang |
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| 著者所属 | ||||||
| 著者所属 | Department of Mathematics, Shenzhen University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We study properties of the space of quadratic differential metrics on a closed Riemann surface of genus g ≥ 2. First, we introduce a natural metric on this space defined via length distortions which is proper and compact. Second, we study topological properties of this space and show equivalence of various convergences. Besides, we relate the preceding metric to another metric which is obtained via global Lipschitz constants. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 21, 号 2, p. 221-234, 発行日 2014-12-11 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR | ||||||
| Mathmatical Subject Classification | ||||||
| 30F45(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 46B20(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 51M25(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2013-09-24 | ||||||
