Graduate School of Mathematical Sciences, The University of Tokyo
抄録
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 $\partial\mathbb{H}_\mathbb{C}^n = S^{2n-1}$.
雑誌名
Journal of Mathematical Sciences The University of Tokyo
巻
26
号
1
ページ
15 - 53
発行年
2019-03-22
ISSN
13405705
書誌レコードID
AA11021653
Mathmatical Subject Classification
37C85(MSC2010)
53C24(MSC2010)
57S30(MSC2010)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
原稿受領日
2018-02-20
アイテムへのリンクの際はタイトル右肩にある「Permalink」をご利用ください！
Please use "Permalink" at the top right of the title when linking to items!
Local Rigidity of Certain Actions of Nilpotent-by-Cyclic Groups on the Sphere
jms260102.pdf
(293.17KB)
