Abstract
We investigate various Teichmüller spaces associated to a surface of infinite topological type. We show that the length spectrum metric is complete. We give results and examples that compare the length spectrum Teichmüller space with the quasiconformal and the Fenchel-Nielsen Teichmüller spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 561-574 |
| Number of pages | 14 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 140 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2012 |
Keywords
- Fenchel-nielsen coordinates
- Fenchel-nielsen metric
- Length spectrum metric
- Quasiconformal metric
- Surfaces of infinite topological type
- Teichmüller metric
- Teichmüller space
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