An explicit counterexample to the equivariant K = 2 conjecture

Yohei Komori, Charles A. Matthews

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We construct an explicit example of a geometrically finite Kleinian group G with invariant component Ω in the Riemann sphere Ĉ such that any quasiconformal map from Ω to the boundary of the convex hull of Ĉ − Ω in H3 which extends to the identity map on their common boundary in Ĉ, and which is equivariant under the group of Möbius transformations preserving Ω, must have maximal dilatation K 2.002.

Original languageEnglish
Pages (from-to)184-196
Number of pages13
JournalConformal Geometry and Dynamics
Volume10
Issue number10
DOIs
Publication statusPublished - 2006 Aug 24

ASJC Scopus subject areas

  • Geometry and Topology

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