Local rigidity in quaternionic hyperbolic space
Differential Geometry
2007-10-25 v2
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.
Cite
@article{arxiv.0708.2182,
title = {Local rigidity in quaternionic hyperbolic space},
author = {Inkang Kim and Pierre Pansu},
journal= {arXiv preprint arXiv:0708.2182},
year = {2007}
}
Comments
Version 2 corrects a serious mistake: fuchsian surface groups in Sp(2,1) are flexible and not rigid as claimed in version 1