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Geometric Complex Analysis pp 115–127Cite as

Group Actions in Several Complex Variables: A Survey

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 246))

Abstract

We give a survey on some recent developments about group actions in several complex variables, including rigidity of the automorphism groups of the invariant domains in Stein homogenous spaces under complex reductive groups, and extension and rigidity of the proper holomorphic mappings of the domains in \(\mathbb C^n\) with symmetries.

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Acknowledgements

The authors are partially supported by the NSFC grants.

Author information

Authors and Affiliations

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China

    Fusheng Deng

  2. School of Mathematics and Statistics, Central South University, Changsha, 410083, Hunan, China

    Jiafu Ning

  3. Department of Mathematics, School of Information, People’s (Renmin) University of China, Beijing, 100049, China

    Huiping Zhang

  4. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Xiangyu Zhou

Authors
  1. Fusheng Deng
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  2. Jiafu Ning
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  3. Huiping Zhang
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  4. Xiangyu Zhou
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Corresponding author

Correspondence to Xiangyu Zhou .

Editor information

Editors and Affiliations

  1. Department of Mathematics Education, Kyungnam University, Changwon, Korea (Republic of)

    Jisoo Byun

  2. Department of Mathematics, Pusan National University, Busan, Korea (Republic of)

    Hong Rae Cho

  3. Center for Mathematical Challenges, Korea Institute for Advanced Study, Seoul, Korea (Republic of)

    Sung Yeon Kim

  4. Department of Mathematics, Gyeongsang National University, Jinju, Korea (Republic of)

    Kang-Hyurk Lee

  5. Department of Mathematics, Kyung Hee University, Seoul, Korea (Republic of)

    Jong-Do Park

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Deng, F., Ning, J., Zhang, H., Zhou, X. (2018). Group Actions in Several Complex Variables: A Survey. In: Byun, J., Cho, H., Kim, S., Lee, KH., Park, JD. (eds) Geometric Complex Analysis. Springer Proceedings in Mathematics & Statistics, vol 246. Springer, Singapore. https://doi.org/10.1007/978-981-13-1672-2_9

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