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The Space of (Contact) Anosov Flows on 3-Manifolds
http://hdl.handle.net/2261/59048
http://hdl.handle.net/2261/590486b7832c8-62f0-451f-ade9-d511a687c072
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms200306.pdf (132.0 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 | The Space of (Contact) Anosov Flows on 3-Manifolds | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Anosov flows | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | contact Anosov flows | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | C1-open subset | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Matsumoto, Shigenori
× Matsumoto, Shigenori |
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| 著者所属 | ||||||
| 著者所属 | Department of Mathematics, College of Science and Technology, Nihon University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | The first half of this paper concerns the topology of the space A(M) of (not necessarily contact) Anosov vector fields on the unit tangent bundle M of closed oriented hyperbolic surfaces Σ. We show that there are countably infinite connected components of A(M), each of which is not simply connected. In the second part, we study contact Anosov flows. We show in particular that the time changes of contact Anosov flows forma C1-open subset of the space of the Anosov flows which leave a particular C∞ volume form invariant, if the ambiant manifold is a rational homology sphere. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 20, 号 3, p. 445-460, 発行日 2014-01-15 |
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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 | ||||||
| 37D20(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 37C40(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2013-08-26 | ||||||
