Journal title
Journal d'Analyse Mathematique
DOI
10.1007/s11854-011-0003-1
Issue
1
Volume
113
Last updated
2023-12-19T16:47:30.823+00:00
Page
173-195
Abstract
A Riemann surface M is said to be K-quasiconformally homogeneous if, for every two points p, q ∈ M, there exists a K-quasiconformal homeomorphism f: M→M such that f(p) = q. In this paper, we show there exists a universal constant K > 1 such that if M is a K-quasiconformally homogeneous hyperbolic genus zero surface other than D2, then K ≥ K. This answers a question by Gehring and Palka [10]. Further, we show that a non-maximal hyperbolic surface of genus g ≥ 1 is not K-quasiconformally homogeneous for any finite K ≥ 1. © 2011 Hebrew University Magnes Press.
Symplectic ID
1110010
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Publication type
Journal Article
Publication date
01 Jan 2011