Local rigidity in quaternionic hyperbolic space

Details Local rigidity in quaternionic hyperbolic space Local rigidity in quaternionic hyperbolic space

2007-08-16

arxiv.org/abs/0708.2182v2

Mathematics

Differential Geometry

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

Scientific paper

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.

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