Open Access
Translator Disclaimer
Spring 2009 Conformal metrics and boundary accessibility
Tomi Nieminen
Illinois J. Math. 53(1): 25-38 (Spring 2009). DOI: 10.1215/ijm/1264170837

Abstract

We study conformal metrics on the unit ball of Euclidean space. We prove an extension of a theorem originally due to Gerasch on the broadly accessibility of the boundary points of a domain quasiconformally equivalent to a ball. We also show that our result is close to optimal. Our abstract approach leads to new results also for the boundary behavior of (quasi)conformal mappings.

Citation

Download Citation

Tomi Nieminen. "Conformal metrics and boundary accessibility." Illinois J. Math. 53 (1) 25 - 38, Spring 2009. https://doi.org/10.1215/ijm/1264170837

Information

Published: Spring 2009
First available in Project Euclid: 22 January 2010

zbMATH: 1191.30010
MathSciNet: MR2584933
Digital Object Identifier: 10.1215/ijm/1264170837

Subjects:
Primary: 30C65

Rights: Copyright © 2009 University of Illinois at Urbana-Champaign

JOURNAL ARTICLE
14 PAGES


SHARE
Vol.53 • No. 1 • Spring 2009
Back to Top