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A rigidity Theorem and a Stability Theorem for two-step nilpotent Lie groups
http://hdl.handle.net/2261/55427
http://hdl.handle.net/2261/55427018c4658-98ac-40b9-88d0-8e1611c7489e
名前 / ファイル | ライセンス | アクション |
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jms190302.pdf (205.8 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2013-10-23 | |||||
タイトル | ||||||
タイトル | A rigidity Theorem and a Stability Theorem for two-step nilpotent Lie groups | |||||
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 |
Baklouti, Ali
× Baklouti, Ali× ElAloui, Nasreddine× Kédim, Imed |
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著者所属 | ||||||
著者所属 | Department of Mathematics, Faculty of Sciences at Sfax | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let G be a Lie group and H a connected Lie subgroup of G. Given any discontinuous subgroup Γ for the homogeneous space X = G/H and any deformation of Γ, the deformed discrete subgroup may fail to be discontinuous for X. To understand this phenomenon in the case when G is a two-step nilpotent Lie group, we provide a stratification of the deformation space of the action of Γ on X, which depends upon the dimensions of G-adjoint orbits. As a direct consequence, a rigidity Theorem is given and a certain sufficient condition for the stability property is derived. We also discuss the Hausdorff property of the associated deformation space. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 19, 号 3, p. 281-307, 発行日 2012-10-22 |
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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 | ||||||
2011-12-02 |