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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 2024 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.

 

On NET maps: Examples and nonexistence results
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by Edgar A. Saenz
Conform. Geom. Dyn. 23 (2019), 147-163
DOI: https://doi.org/10.1090/ecgd/339
Published electronically: August 21, 2019
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Abstract:

A Thurston map is called nearly Euclidean if its local degree at each critical point is 2 and it has exactly four postcritical points. Nearly Euclidean Thurston (NET) maps are simple generalizations of rational Lattès maps. We investigate when such a map has the property that the associated pullback map on Teichmüller space is constant. We also show that no Thurston map of degree 2 has constant pullback map.
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Bibliographic Information
  • Edgar A. Saenz
  • Affiliation: Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061
  • MR Author ID: 1229083
  • Email: easaenzm@math.vt.edu
  • Received by editor(s): July 4, 2015
  • Received by editor(s) in revised form: August 16, 2018
  • Published electronically: August 21, 2019
  • © Copyright 2019 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 23 (2019), 147-163
  • MSC (2010): Primary 37F10, 37F20
  • DOI: https://doi.org/10.1090/ecgd/339
  • MathSciNet review: 3994789