Skip to Main Content

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.


Compact non-orientable hyperbolic surfaces with an extremal metric disc
HTML articles powered by AMS MathViewer

by Ernesto Girondo and Gou Nakamura
Conform. Geom. Dyn. 11 (2007), 29-43
Published electronically: March 8, 2007


The size of a metric disc embedded in a compact non-orientable hyperbolic surface is bounded by some constant depending only on the genus $g \ge 3$. We show that a surface of genus greater than six contains at most one metric disc of the largest radius. For the case $g=3$, we carry out an exhaustive study of all the extremal surfaces, finding the location of every extremal disc inside them.
Similar Articles
  • Retrieve articles in Conformal Geometry and Dynamics of the American Mathematical Society with MSC (2000): 30F50, 30F40
  • Retrieve articles in all journals with MSC (2000): 30F50, 30F40
Bibliographic Information
  • Ernesto Girondo
  • Affiliation: Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain
  • Address at time of publication: Departamento de Matemáticas, IMAFF, CSIC, Madrid, Spain
  • MR Author ID: 650820
  • ORCID: 0000-0002-9611-9721
  • Email:
  • Gou Nakamura
  • Affiliation: Science Division, Center for General Education, Aichi Institute of Technology, Yakusa-Cho, Toyota 470-0392, Japan
  • MR Author ID: 639802
  • Email:
  • Received by editor(s): September 5, 2006
  • Published electronically: March 8, 2007
  • Additional Notes: The first author was supported in part by the MCyT research project BFM2003-04964.
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 11 (2007), 29-43
  • MSC (2000): Primary 30F50; Secondary 30F40
  • DOI:
  • MathSciNet review: 2295996