Hyperbolic spaces in Teichmüller spaces

Leininger, Christopher J., and Schleimer, Saul. "Hyperbolic spaces in Teichmüller spaces." Journal of the European Mathematical Society 016.12 (2014): 2669-2692. <http://eudml.org/doc/277391>.

@article{Leininger2014,
abstract = {We prove, for any $n$, that there is a closed connected orientable surface $S$ so that the hyperbolic space $\mathbb \{H\}^n$ almost-isometrically embeds into the Teichmüller space of $S$, with quasi-convex image lying in the thick part. As a consequence, $\mathbb \{H\}^n$ quasi-isometrically embeds in the curve complex of $S$.},
author = {Leininger, Christopher J., Schleimer, Saul},
journal = {Journal of the European Mathematical Society},
keywords = {almost-isometric embedding; Teichmüller space; hyperbolic space; quadratic differential; complex of curves; Teichmüller space; almost-isometric embedding; hyperbolic space; quadratic differential; complex of curves},
language = {eng},
number = {12},
pages = {2669-2692},
publisher = {European Mathematical Society Publishing House},
title = {Hyperbolic spaces in Teichmüller spaces},
url = {http://eudml.org/doc/277391},
volume = {016},
year = {2014},
}

TY - JOUR
AU - Leininger, Christopher J.
AU - Schleimer, Saul
TI - Hyperbolic spaces in Teichmüller spaces
JO - Journal of the European Mathematical Society
PY - 2014
PB - European Mathematical Society Publishing House
VL - 016
IS - 12
SP - 2669
EP - 2692
AB - We prove, for any $n$, that there is a closed connected orientable surface $S$ so that the hyperbolic space $\mathbb {H}^n$ almost-isometrically embeds into the Teichmüller space of $S$, with quasi-convex image lying in the thick part. As a consequence, $\mathbb {H}^n$ quasi-isometrically embeds in the curve complex of $S$.
LA - eng
KW - almost-isometric embedding; Teichmüller space; hyperbolic space; quadratic differential; complex of curves; Teichmüller space; almost-isometric embedding; hyperbolic space; quadratic differential; complex of curves
UR - http://eudml.org/doc/277391
ER -