Rigidity of partially hyperbolic actions of property (T) groups

Andrei Török

doi:10.3934/dcds.2003.9.193

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2003, Volume 9, Issue 1: 193-208. Doi: 10.3934/dcds.2003.9.193

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Rigidity of partially hyperbolic actions of property (T) groups

Andrei Török^1,

1.
Department of Mathematics, University of Houston, Houston, TX 77204-3008

Received: April 30, 2001

Revised: January 31, 2002

Published: December 2002

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Abstract

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.

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Mathematics Subject Classification: 37C85, 37C40, 37D05, 37D30.

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