Bergman completeness is not a quasi-conformal invariant
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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