Christopher J. Leininger, Saul Schleimer
Published 2011-10-29, updated 2013-02-05Version 2
We prove, for any n, that there is a closed connected orientable surface S so that the hyperbolic space H^n almost-isometrically embeds into the Teichm\"uller space of S, with quasi-convex image lying in the thick part. As a consequence, H^n quasi-isometrically embeds in the curve complex of S.
Comments: 22 pages, revised to reflect referee's comments
Almost isometries between Teichmüller spaces
Asymptotic Translation Length in the Curve Complex
Some metrics on Teichmüller spaces of surfaces of infinite type
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