A Milnor-Wood inequality for complex hyperbolic lattices in quaternionic space
Differential Geometry
2016-01-20 v1
Abstract
We prove a Milnor-Wood inequality for representations of the fundamental group of a compact complex hyperbolic manifold in the group of isometries of quaternionic hyperbolic space. Of special interest is the case of equality, and its application to rigidity. We show that equality can only be achieved for totally geodesic representations, thereby establishing a global rigidity theorem for totally geodesic representations.
Cite
@article{arxiv.1010.3014,
title = {A Milnor-Wood inequality for complex hyperbolic lattices in quaternionic space},
author = {Oscar Garcia-Prada and Domingo Toledo},
journal= {arXiv preprint arXiv:1010.3014},
year = {2016}
}
Comments
13 pages