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Rigidity of Discontinuous Actions on Diamond Homogeneous Spaces
http://hdl.handle.net/2261/72173
http://hdl.handle.net/2261/72173a7c469f8-3676-4345-9c9a-a50af9646d38
名前 / ファイル | ライセンス | アクション |
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jms230201.pdf (171.0 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2017-04-13 | |||||
タイトル | ||||||
タイトル | Rigidity of Discontinuous Actions on Diamond Homogeneous Spaces | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Deformation spaces | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | diamond group | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | rigidity | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | discrete subgroup | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Kédim, Imed
× Kédim, Imed |
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著者所属 | ||||||
著者所属 | University of Carthage, Department of Mathematics, Faculty of Sciences of Bizerte | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let G = Rn H2n+1 be the diamond group, H a closed Lie subgroup of G and Γ a discontinuous subgroup for the homogeneous space G/H. We study in this paper some rigidity properties of the discontinuous action of Γ on G/H. Namely, we show that the strong local rigidity fails to hold on the corresponding parameter space. In addition, when particularly H is dilation-invariant, the local rigidity also fails to hold. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 23, 号 2, p. 381-403, 発行日 2016-02-25 |
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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 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
22E25(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
22G15(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2013-07-16 |