2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140670In 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 1Differential Geometry51M10;57S25Local rigidity in quaternionic hyperbolic spacetext