Abstract
The space of all projective structures on a closed surface is a holomorphic vector bundle over the Teichmüller space. In this paper, we restrict the space to the Bers fiber over any fixed underlying complex structure and prove that the interior of the set of discrete projective structures in the Bers fiber consists of those having quasifuchsian holonomy.
| Original language | English |
|---|---|
| Pages (from-to) | 3-12 |
| Number of pages | 10 |
| Journal | Annales Academiae Scientiarum Fennicae Mathematica |
| Volume | 32 |
| Issue number | 1 |
| Publication status | Published - 2007 Dec 1 |
| Externally published | Yes |
Keywords
- Bers density conjecture
- Degenerate group
- Grafting
- Holonomy representation
- Kleinian group
- Projective structure
- Quasifuchsian group
ASJC Scopus subject areas
- Mathematics(all)