arXiv:1710.04942 Abstract | arXiv Analytics

arXiv:1710.04942 [math.DS]Abstract References Reviews Resources

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

Published 2017-10-13Version 1

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.

Comments: 32 pages, no figures

Categories: math.DS

Keywords: local rigidity, nilpotent-by-cyclic groups, complex hyperbolic space, imaginary boundary, iwasawa decomposition

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