QUASICONFORMAL CONJUGACY CLASSES OF PARABOLIC ISOMETRIES OF COMPLEX HYPERBOLIC SPACE

摘要

We investigate the quasiconformal conjugacy classes of parabolic isometries acting on complex hyperbolic space. Our main result is that a screw parabolic isometry cannot be quasiconformally conjugate to a translation. This implies that a cyclic group generated by a screw parabolic isometry is not quasiconformally stable in its deformation space.