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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.


Metric conformal structures and hyperbolic dimension
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by Igor Mineyev
Conform. Geom. Dyn. 11 (2007), 137-163
Published electronically: September 12, 2007


For any hyperbolic complex $X$ and $a\in X$ we construct a visual metric $\check {d}=\check {d}_a$ on $\partial X$ that makes the $\operatorname {Isom}(X)$-action on $\partial X$ bi-Lipschitz, Möbius, symmetric and conformal.

We define a stereographic projection of $\check {d}_a$ and show that it is a metric conformally equivalent to $\check {d}_a$.

We also introduce a notion of hyperbolic dimension for hyperbolic spaces with group actions. Problems related to hyperbolic dimension are discussed.

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Bibliographic Information
  • Igor Mineyev
  • Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, Illinois 61801
  • Email:
  • Received by editor(s): May 7, 2007
  • Published electronically: September 12, 2007
  • Additional Notes: This project is partially supported by NSF CAREER grant DMS-0132514
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 11 (2007), 137-163
  • MSC (2000): Primary 20F65, 20F67, 20F69, 37F35, 30C35, 54E35, 54E45, 51K99, 54F45
  • DOI:
  • MathSciNet review: 2346214