Strongly contracting geodesics in Outer Space

Research output: Contribution to journalArticlepeer-review


We study the Lipschitz metric on Outer Space and prove that fully irreducible elements of Out(Fn) act by hyperbolic isometries with axes which are strongly contracting. As a corollary, we prove that the axes of fully irreducible automorphisms in the Cayley graph of Out(Fn) are Morse, meaning that a quasi-geodesic with endpoints on the axis stays within a bounded distance from the axis.

Original languageEnglish
Pages (from-to)2181-2233
Number of pages53
JournalGeometry and Topology
Issue number4
StatePublished - 2011
Externally publishedYes

ASJC Scopus subject areas

  • Geometry and Topology


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