Sullivan's structural stability of expanding group actions
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Sullivan's structural stability of expanding group actions

  • Author(s): Kapovich, Michael
  • Kim, Sungwoon
  • Lee, Jaejeong
  • et al.
Abstract

In his 1985 paper Sullivan sketched a proof of his structural stability theorem for group actions satisfying certain expansion-hyperbolicity axioms. We generalize the theorem by weakening these axioms substantially, while adding more details to Sullivan's original proof. We then present a number of examples satisfying Sullivan's axioms, such as Anosov subgroups of Lie groups as well as hyperbolic and non-hyperbolic groups acting on metric spaces.

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