Local rigidity of affine actions of higher rank groups and lattices
| dc.creator | Fisher, David | |
| dc.creator | Margulis, Gregory | |
| dc.date | 2004-08-16 | |
| dc.date.accessioned | 2026-07-07T05:11:18Z | |
| dc.date.available | 2026-07-07T05:11:18Z | |
| dc.description | Let $J$ be a semisimple Lie group with all simple factors of real rank at least two. Let $Γ<J$ be a lattice. We prove a very general local rigidity result about actions of $J$ or $Γ$. This shows that almost all so-called "standard actions" are locally rigid. As a special case, we see that any action of $Γ$ by toral automorphisms is locally rigid. More generally, given a manifold $M$ on which $Γ$ acts isometrically and a torus $\Ta^n$ on which it acts by automorphisms, we show that the diagonal action on $\Ta^n{\times}M$ is locally rigid. This paper is the culmination of a series of papers and depends heavily on our work in \cite{FM1,FM2}. The reader willing to accept the main results of those papers as "black boxes" should be able to read the present paper without referring to them. | |
| dc.description | 59 pages | |
| dc.identifier | https://arxiv.org/abs/math/0408213 | |
| dc.identifier | http://arxiv.org/abs/math/0408213 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72197 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Differential Geometry | |
| dc.subject | 37C85 53C24 | |
| dc.title | Local rigidity of affine actions of higher rank groups and lattices | |
| dc.type | text |