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Complex Analysis and Geometry pp 99–117Cite as

A Survey on Bergman Completeness

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 144))

Abstract

We provide a survey of results on Bergman completeness of open complex manifolds

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Notes

  1. 1.

    Recently, I got a counterexample.

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Acknowledgments

The author would like to thank the organizers of KSCV10 for their invitation and the referee for pointing out many misprints in the manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Tongji University, Shanghai, 200092, China

    Bo-Yong Chen

  2. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Bo-Yong Chen

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  1. Bo-Yong Chen
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Correspondence to Bo-Yong Chen .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Università di Roma Tor Vergata, Rome, Italy

    Filippo Bracci

  2. Dept. of Mathematics Education, Kyungnam University, Changwon, Korea (Republic of)

    Jisoo Byun

  3. Université Joseph Fourier Grenoble, Institut Fourier, Grenoble, France

    Hervé Gaussier

  4. Graduate School of Mathematical Sciences, The University of Tokyo, Meguro-ku, Tokyo, Japan

    Kengo Hirachi

  5. Department of Mathematics, POSTECH, Pohang, Korea (Republic of)

    Kang-Tae Kim

  6. Department of Mathematics, Bergische Universität Wuppertal, Wuppertal, Nordrhein-Westfalen, Germany

    Nikolay Shcherbina

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Chen, BY. (2015). A Survey on Bergman Completeness. In: Bracci, F., Byun, J., Gaussier, H., Hirachi, K., Kim, KT., Shcherbina, N. (eds) Complex Analysis and Geometry. Springer Proceedings in Mathematics & Statistics, vol 144. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55744-9_7

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