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Feuilletages Mesurés et Pseudogroupes d'Isométries du Cercle
http://hdl.handle.net/2261/1203
http://hdl.handle.net/2261/120365cbc525-b024-4ef2-ac00-48262233505e
名前 / ファイル | ライセンス | アクション |
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jms070307.pdf (235.4 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 | Feuilletages Mesurés et Pseudogroupes d'Isométries du Cercle | |||||
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 | departmental bulletin paper | |||||
著者 |
Gusmao, Paulo
× Gusmao, Paulo |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let us consider non transversaly orientable measurable foliations of codimension one, on orientable open manifolds $M^n$, $n\ge 3$. We calculated the subgroups of finite type of two groups: one is the fundamental group $Π_1(BΓ)$ of the Haefliger's classifying space and the other is the quotient of $Π_1(M)$ by the normal subgroup ${\Cal L}'$ generated by free homotopy classes of the loops contained in the leaves. We use these groups to extend the result of G. Levitt to a no-orientable case. This result caracterize the finite type groups acting freely on a simply connected 1-manifold by $C^2$-diffeomorphism which preserves orientation. We study the pseudogroups of the isometries of the circle and we calculated the variation of the measure of the orbite space when we modified the length of the domain of the generators. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 7, 号 3, p. 487-508, 発行日 2000 |
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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Scheme | NDC | |||||
主題 | 415 | |||||
Mathematical Reviews Number | ||||||
値 | MR1792738 | |||||
Mathmatical Subject Classification | ||||||
値 | 58H05(MSC1991) | |||||
Mathmatical Subject Classification | ||||||
値 | 57R30(MSC1991) | |||||
Mathmatical Subject Classification | ||||||
値 | 58F18(MSC1991) | |||||
Mathmatical Subject Classification | ||||||
値 | 60F99(MSC1991) | |||||
Mathmatical Subject Classification | ||||||
値 | 60G15(MSC1991) | |||||
Mathmatical Subject Classification | ||||||
値 | 82B05(MSC1991) | |||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
値 | 1999-07-05 |