Rigidity of Partially Hyperbolic Actions of Property (t) Groups
نویسنده
چکیده
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.
منابع مشابه
Local rigidity of certain partially hyperbolic actions of product type
We prove certain rigidity properties of higher-rank abelian product actions of the type α × Id N : Z κ → Diff(M × N), where α is (TNS) (i.e. is hyperbolic and has some special structure of its stable distributions). Together with a result about product actions of property (T) groups, this implies the local rigidity of higher-rank lattice actions of the form α × Id T : → Diff(M × T), provided α ...
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