Abstract
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 language | American English |
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Pages (from-to) | 2181-2233 |
Number of pages | 53 |
Journal | Geometry and Topology |
Volume | 15 |
Issue number | 4 |
DOIs | |
State | Published - 2011 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Geometry and Topology