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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

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.

 

Metrics with four conic singularities and spherical quadrilaterals
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by Alexandre Eremenko, Andrei Gabrielov and Vitaly Tarasov PDF
Conform. Geom. Dyn. 20 (2016), 128-175 Request permission

Abstract:

A spherical quadrilateral is a bordered surface homeomorphic to a closed disk, with four distinguished boundary points called corners, equipped with a Riemannian metric of constant curvature $1$, except at the corners, and such that the boundary arcs between the corners are geodesic. We discuss the problem of classification of these quadrilaterals and perform the classification up to isometry in the case that two angles at the corners are multiples of $\pi$. The problem is equivalent to classification of Heun’s equations with real parameters and unitary monodromy.
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Additional Information
  • Alexandre Eremenko
  • Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-2067
  • MR Author ID: 63860
  • Andrei Gabrielov
  • Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-2067
  • MR Author ID: 335711
  • Vitaly Tarasov
  • Affiliation: Department of Mathematics, IUPUI, Indianapolis, Indiana 46202-3216 — and — St. Petersburg branch of Steklov Mathematical Institute, 27, Fontanka, 191023 St. Petersburg, Russia
  • MR Author ID: 191119
  • Received by editor(s): July 7, 2015
  • Received by editor(s) in revised form: March 11, 2016, and March 12, 2016
  • Published electronically: May 16, 2016
  • Additional Notes: The first author was supported by NSF grant DMS-1361836.
    The second author was supported by NSF grant DMS-1161629.
  • © Copyright 2016 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 20 (2016), 128-175
  • MSC (2010): Primary 30C20, 34M03
  • DOI: https://doi.org/10.1090/ecgd/295
  • MathSciNet review: 3500744