Hyperbolic spaces in Teichmüller spaces

نویسندگان

  • Christopher J. Leininger
  • Saul Schleimer
چکیده

We prove, for any n, that there is a closed connected orientable surface S so that the hyperbolic space H almost-isometrically embeds into the Teichmüller space of S, with quasi-convex image lying in the thick part. As a consequence, H quasi-isometrically embeds in the curve complex of S.

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تاریخ انتشار 2013