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Conformal Geometry and Dynamics

Published by the American Mathematical Society since 1997, the purpose of this electronic-only journal is to provide a forum for mathematical work in related fields broadly described as conformal geometry and dynamics. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.49.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Sphericalization and flattening
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by Zoltán M. Balogh and Stephen M. Buckley
Conform. Geom. Dyn. 9 (2005), 76-101
Published electronically: November 29, 2005


The conformal deformations of flattening and sphericalization of length metric spaces are considered. These deformations are dual to each other if the space satisfies a simple quantitative connectivity property. Moreover, the quasihyperbolic metrics corresponding to the flat and the spherical metrics are bilipschitz equivalent if a weaker connectivity condition is satisfied.
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Bibliographic Information
  • Zoltán M. Balogh
  • Affiliation: Departament Mathematik, Universität Bern, Sidlerstrasse 5, 3012, Bern, Schweiz
  • Email:
  • Stephen M. Buckley
  • Affiliation: Department of Mathematics, National University of Ireland, Maynooth, Co. Kildare, Ireland
  • Email:
  • Received by editor(s): October 26, 2004
  • Received by editor(s) in revised form: September 28, 2005
  • Published electronically: November 29, 2005
  • Additional Notes: This research was partially supported by the Swiss Nationalfond and Enterprise Ireland. It was partly conducted during a visit by the second author to the University of Bern; the hospitality of the Mathematics Department was much appreciated.
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 9 (2005), 76-101
  • MSC (2000): Primary 30F45
  • DOI:
  • MathSciNet review: 2179368