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

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.

32 pages, no figures

References in corpus (1)

• Rigidity of certain solvable actions on the sphere