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Proceedings of the American Mathematical Society

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

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Bergman completeness is not a quasi-conformal invariant
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by Xu Wang PDF
Proc. Amer. Math. Soc. 141 (2013), 543-548 Request permission

Abstract:

We show that Bergman completeness is not a quasi-conformal invariant for general Riemann surfaces.
References
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Additional Information
  • Xu Wang
  • Affiliation: Instytut Matematyki, Uniwersytet Jagielloński, Łojasiewicza 6, 30-348 Kraków, Poland
  • Address at time of publication: Department of Mathematics, Tongji University, Shanghai 200092, People’s Republic of China
  • Email: 1113xuwang@tongji.edu.cn
  • Received by editor(s): May 12, 2011
  • Received by editor(s) in revised form: June 28, 2011
  • Published electronically: June 5, 2012
  • Additional Notes: The author would like to thank W. Zwonek for his fruitful suggestions on this paper
    This project operated within the Foundation for Polish Science IPP Programme “Geometry and Topology in Physical Models”, co-financed by the EU European Regional Development Fund, Operational Program Innovative Economy 2007-2013
  • Communicated by: Franc Forstneric
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 543-548
  • MSC (2010): Primary 32F45; Secondary 32A25
  • DOI: https://doi.org/10.1090/S0002-9939-2012-11328-0
  • MathSciNet review: 2996958