Notes on Stable Teichmuller quasigeodesics

preprint2011arXivOpen access

Abstract

In this note, we prove that for a cobounded,Lipschitz path $γ:I\to\TT$, if the pull back bundle Hγ\mathcal H_γ over II is a strongly relatively hyperbolic metric space then there exists a geodesic ξξ in $\TT$ such that γ(I)γ(I) and ξξ are close to each other.

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