58 citations · 106 across the 12 of their papers we have counts for
5 papers · 2 filters
Local rigidity of affine actions of higher rank groups and lattices
David Fisher, Gregory Margulis
Let be a semisimple Lie group with all simple factors of real rank at least two. Let be a lattice. We prove a very general local rigidity result about actions of or $…
Deformations of group actions
David Fisher
Let be a noncompact real algebraic group and $\G<G$ a lattice. One purpose of this paper is to show that there is an smooth, volume preserving, mixing action of or $\G$ on…
Continuous quotients for lattice actions on compact manifolds
David Fisher, Kevin Whyte
Let G be a subgroup of finite index in SL(n,Z) for N > 4. Suppose G acts continuously on a manifold M, with fundamental group Z^n, preserving a measure that is positive on open set…
Non-ergodic actions, cocycles and superrigidity
D. Fisher, D. Morris, K. Whyte
This paper proves various results concerning non-ergodic actions of locally compact groups and particularly Borel cocycles defined over such actions. The general philosophy is to r…
Nonexistence of invariant rigid structures and invariant almost rigid structures
E. Jerome Benveniste, David Fisher
We prove that certain volume preserving actions of Lie groups and their lattices do not preserve rigid geometric structures in the sense of Gromov. The actions considered are the "…