Abstract
We show that in an L-annularly linearly connected, N-doubling, complete metric space, any n points lie on a λ-quasi-circle, where λ depends only on L, N and n. This implies, for example, that if G is a hyperbolic group that does not split over any virtually cyclic subgroup, then any geodesic line in G lies in a quasi-isometrically embedded copy of H^2.
| Original language | English |
|---|---|
| Pages (from-to) | 403-417 |
| Number of pages | 15 |
| Journal | Indiana University Mathematics Journal |
| Volume | 63 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2014 |
Fingerprint
Dive into the research topics of 'Quasi-circles through prescribed points'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver