# American Institute of Mathematical Sciences

2003, 9(1): 193-208. doi: 10.3934/dcds.2003.9.193

## Rigidity of partially hyperbolic actions of property (T) groups

 1 Department of Mathematics, University of Houston, Houston, TX 77204-3008, United States

Received  May 2001 Revised  February 2002 Published  November 2002

We show that volume-preserving perturbations of some product actions of property (T) groups exhibit a "foliation rigidity" property, which reduces the partially hyperbolic action to a family of hyperbolic actions. This is used to show that certain partially hyperbolic actions are locally rigid.
Citation: Andrei Török. Rigidity of partially hyperbolic actions of property (T) groups. Discrete & Continuous Dynamical Systems - A, 2003, 9 (1) : 193-208. doi: 10.3934/dcds.2003.9.193
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