Strongly contracting geodesics in Outer Space

Yael Algom-Kfir

doi:10.2140/gt.2011.15.2181

Strongly contracting geodesics in Outer Space

Research output: Contribution to journal › Article › peer-review

Abstract

We study the Lipschitz metric on Outer Space and prove that fully irreducible elements of Out(F_n) 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(F_n) are Morse, meaning that a quasi-geodesic with endpoints on the axis stays within a bounded distance from the axis.

Original language	American English
Pages (from-to)	2181-2233
Number of pages	53
Journal	Geometry and Topology
Volume	15
Issue number	4
DOIs	https://doi.org/10.2140/gt.2011.15.2181
State	Published - 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.2140/gt.2011.15.2181

Cite this

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title = "Strongly contracting geodesics in Outer Space",

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.",

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DO - 10.2140/gt.2011.15.2181

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JO - Geometry and Topology

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Strongly contracting geodesics in Outer Space

Abstract

All Science Journal Classification (ASJC) codes

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