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Local Rigidity of Certain Actions of Nilpotent-by-Cyclic Groups on the Sphere
http://hdl.handle.net/2261/00079064
http://hdl.handle.net/2261/00079064e459da3a-2b1e-4c71-88a5-c56240998699
名前 / ファイル | ライセンス | アクション |
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jms260102.pdf (293.2 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2020-03-25 | |||||
タイトル | ||||||
タイトル | Local Rigidity of Certain Actions of Nilpotent-by-Cyclic Groups on the Sphere | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Group actions | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | local rigidity | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Heisenberg group | |||||
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 |
Okada, Mao
× Okada, Mao |
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著者所属 | ||||||
著者所属 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let $G = SU(n, 1)$, $n \geq 2$ be the orientation-pre\-serving isometry group of the complex hyperbolic space $\mathbb{H}_\mathbb{C}^n$ with an Iwasawa decomposition $G = KAN$. We prove local rigidity of a family of certain actions of a subgroup $\Gamma \subset AN$ on the imaginary boundary $\partial\mathbb{H}_\mathbb{C}^n = S^{2n-1}$. | |||||
書誌情報 |
Journal of Mathematical Sciences The University of Tokyo 巻 26, 号 1, p. 15-53, 発行日 2019-03-22 |
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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 | |||||
Mathmatical Subject Classification | ||||||
37C85(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
53C24(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
57S30(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2018-02-20 |