The isometry group of Outer Space

Abstract

We prove analogues of Royden's Theorem for the Lipschitz metrics of Outer Space, namely that Isom(CV_n) is Out(F_n).

References in corpus (3)

• Strongly Contracting Geodesics in Outer Space
• Lines of minima in Outer space
• Relative outer automorphisms of free groups

Cited by in corpus (9)

• Automorphisms of graphs of cyclic splittings of free groups
• Bounding the gap between a free group (outer) automorphism and its inverse
• Patterson-Sullivan currents, generic stretching factors and the asymmetric Lipschitz metric for Outer space
• Relative twisting in Outer space
• On the connectivity of level sets of automorphisms of free groups, with applications to decision problems
• The mimimally displaced set of an irreducible automorphism of $F_N$ is co-compact
• Ideal Whitehead Graphs in $Out(F_r)$ IV: Building ideal Whitehead graphs in higher ranks and ideal Whitehead graphs with cut vertices
• On the action of relatively irreducible automorphisms on their train tracks
• The minimally displaced set of an irreducible automorphism is locally finite