Abstract
We prove, for any n, that there is a closed connected orientable surface S so that the hyperbolic space Hn almost-isometrically embeds into the Teichmüller space of S, with quasiconvex image lying in the thick part. As a consequence, Hn quasi-isometrically embeds in the curve complex of S.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2669-2692 |
| Number of pages | 24 |
| Journal | Journal of the European Mathematical Society |
| Volume | 16 |
| Issue number | 12 |
| DOIs | |
| State | Published - 2014 |
Keywords
- Almost-isometric embedding
- Complex of curves
- Hyperbolic space
- Quadratic differential
- Teichmüller space
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics