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Examples of pseudo-Anosov homeomorphisms with small dilatations
http://hdl.handle.net/2261/7537
http://hdl.handle.net/2261/7537eb34443f-ca12-4e74-aef7-1d95c10f950c
名前 / ファイル | ライセンス | アクション |
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jms130201.pdf (218.5 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | Examples of pseudo-Anosov homeomorphisms with small dilatations | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Minakawa, Hiroyuki
× Minakawa, Hiroyuki |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | For a closed orientable surface $\Sigma_g$ of genus $g\ge 2$, we give an upper bound for the least dilatation of pseudo-Anosov homeomorphisms of $\Sigma_g$. For this purpose, we construct a family of Birkhoff sections for a suspension Anosov flow. Birkhoff sections have been constructed by using cut and paste arguments for surfaces in 3-manifolds. But we construct them directly and then we obtain piecewise linear models of the first return mappings of the Birkhoff sections. These models enable us to investigate their dilatations explicitly, and we obtain necessary estimates. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 13, 号 2, p. 95-111, 発行日 2006-10-17 |
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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 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR2277516 | ||||||
Mathmatical Subject Classification | ||||||
37D20(MSC2000) | ||||||
Mathmatical Subject Classification | ||||||
37E30(MSC2000) | ||||||
Mathmatical Subject Classification | ||||||
57N05(MSC2000) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2005-05-12 |