Superrigidity, generalized harmonic maps and uniformly convex spaces
Group Theory
2007-07-05 v3 Representation Theory
Abstract
We prove several superrigidity results for isometric actions on metric spaces satisfying some convexity properties. First, we extend some recent theorems of N. Monod on uniform and certain non-uniform irreducible lattices in products of locally compact groups. Second, we include the proof of an unpublished result on commensurability superrigidity due to Margulis. The proofs rely on certain notions of harmonic maps and the study of their existence, uniqueness, and continuity.
Cite
@article{arxiv.math/0606256,
title = {Superrigidity, generalized harmonic maps and uniformly convex spaces},
author = {T. Gelander and A. Karlsson and G. A. Margulis},
journal= {arXiv preprint arXiv:math/0606256},
year = {2007}
}
Comments
22 pages Final version to appear in GAFA