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.
|Number of pages||53|
|Journal||Geometry and Topology|
|State||Published - 2011|
ASJC Scopus subject areas
- Geometry and Topology