Local rigidity in quaternionic hyperbolic space

Abstract

In this note, we study deformations of quaternionic hyperbolic lattices in larger quaternionic hyperbolic spaces and prove local rigidity results. On the other hand, surface groups are shown to be more flexible in quaternionic hyperbolic plane than in complex hyperbolic plane.

Version 2 corrects a serious mistake: fuchsian surface groups in Sp(2,1) are flexible and not rigid as claimed in version 1