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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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The Teichmüller distance on the space of flat conformal structures
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by Hiroyasu Izeki PDF
Conform. Geom. Dyn. 2 (1998), 1-24 Request permission

Abstract:

We define the Teichmüller pseudodistance on spaces of flat conformal structures by the same manner as classical Teichmüller distance on the Teichmüller space of Riemann surfaces. We will prove that for compact manifolds this pseudodistance becomes a complete distance. We will also prove similar results for noncompact manifolds under certain assumptions.
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Additional Information
  • Hiroyasu Izeki
  • Affiliation: Mathematical Institute, Tohoku University, Aoba-ku, Sendai, 980-77, Japan
  • Email: izeki@math.tohoku.ac.jp
  • Received by editor(s): February 24, 1997
  • Received by editor(s) in revised form: October 24, 1997
  • Published electronically: February 3, 1998
  • © Copyright 1998 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 2 (1998), 1-24
  • MSC (1991): Primary 58D27
  • DOI: https://doi.org/10.1090/S1088-4173-98-00009-5
  • MathSciNet review: 1600252