Notes on Stable Teichmuller quasigeodesics

Details Notes on Stable Teichmuller quasigeodesics Notes on Stable Teichmuller quasigeodesics

2011-09-17

arxiv.org/abs/1109.3794v1

Mathematics

Geometric Topology

4 pages

Scientific paper

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

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