Quasi-circles through prescribed points

Research output: Contribution to journalArticle (Academic Journal)peer-review

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 languageEnglish
Pages (from-to)403-417
Number of pages15
JournalIndiana University Mathematics Journal
Volume63
Issue number2
DOIs
Publication statusPublished - 2014

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