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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 |
|---|---|---|
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Scheme | NDC | |||||
| 主題 | 415 | |||||
| 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 | ||||||
