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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.

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Shapes of tetrahedra with prescribed cone angles
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by Ahtziri González and Jorge L. López-López PDF
Conform. Geom. Dyn. 15 (2011), 50-63 Request permission

Abstract:

Given real numbers $4\pi >\theta _0\geq \theta _1\geq \theta _2\geq \theta _3>0$ so that $\sum _{j=0}^3\theta _j=4\pi$, we provide a detailed description of the space of flat metrics on the 2-sphere with 4 conical points of cone angles $\theta _0,\theta _1,\theta _2,\theta _3$, endowed with a geometric structure arising from the area function.
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Additional Information
  • Ahtziri González
  • Affiliation: CIMAT, Mineral de Valenciana, C.P. 36240, Guanajuato, Gto., Mexico
  • Email: ahtziri@cimat.mx
  • Jorge L. López-López
  • Affiliation: Facultad de Ciencias Físico-matemáticas, UMSNH, Ciudad Universitaria, C.P. 58040, Morelia, Mich., Mexico
  • Email: jllopez@umich.mx
  • Received by editor(s): December 7, 2010
  • Published electronically: June 7, 2011
  • Additional Notes: The study was partially supported by funding from the UMSNH (by means of a project of the CIC) and the SEP (by means of the Red Temática de Colaboración “Álgebra, topología y análisis”).
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 15 (2011), 50-63
  • MSC (2010): Primary 51M20; Secondary 58D17, 51M10, 51M25
  • DOI: https://doi.org/10.1090/S1088-4173-2011-00225-6
  • MathSciNet review: 2833472