Local rigidity of certain actions of nilpotent-by-cyclic groups on the sphere

Mao Okada

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arXiv · 1710.04942

Local rigidity of certain actions of nilpotent-by-cyclic groups on the sphere

Mao Okada

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Abstract

Let G = SU(n,1), n >1 be the orientation-preserving isometry group of the complex hyperbolic space with an Iwasawa decomposition G = KAN. We prove local rigidity of a family of certain actions of a subgroup of AN on the imaginary boundary of the complex hyperbolic space.

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Mao Okada. 2017-10-13. Local rigidity of certain actions of nilpotent-by-cyclic groups on the sphere. https://arxiv.org/abs/1710.04942

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