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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.


Rotation estimates and spirals
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by Vladimir Gutlyanskiǐ and Olli Martio
Conform. Geom. Dyn. 5 (2001), 6-20
Published electronically: March 30, 2001


It is shown that the logarithmic spiral gives the extremum to F. John’s angle distortion problem for plane bilipschitz mappings. The problem of factoring spiral-like mappings into a composition of homeomorphisms with smaller isometric distortion is studied. A space counterpart of the Freedman and He theorem is obtained.
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Bibliographic Information
  • Vladimir Gutlyanskiǐ
  • Affiliation: Institute of Applied Mathematics and Mechanics, NAS of Ukraine, ul. Roze Luxemburg 74, 340114, Donetsk, Ukraine
  • Email:
  • Olli Martio
  • Affiliation: Department of Mathematics, P. O. Box 4 (Yliopistonkatu 5), FIN-00014 University of Helsinki, Finland
  • MR Author ID: 120710
  • Email:
  • Received by editor(s): March 17, 2000
  • Received by editor(s) in revised form: January 4, 2001
  • Published electronically: March 30, 2001
  • Additional Notes: The authors thank the Mittag-Leffler Institute for financial support during the fall of the academic year 1999/2000
  • © Copyright 2001 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 5 (2001), 6-20
  • MSC (2000): Primary 30C62, 30C65
  • DOI:
  • MathSciNet review: 1836404