Local Rigidity of Certain Actions of Nilpotent-by-Cyclic Groups on the Sphere
Vol. 26 (2019), No. 1, Page 15-53.
Okada, Mao
Local Rigidity of Certain Actions of Nilpotent-by-Cyclic Groups on the Sphere
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Abstract:
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 $\partial\mathbb{H}_\mathbb{C}^n = S^{2n-1}$.
Keywords: Group actions, local rigidity, Heisenberg group.
Mathematics Subject Classification (2010): Primary 37C85; Secondary 53C24, 57S30
Mathematical Reviews Number: MR3929518
Received: 2018-02-20
