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Remarks on holomorphic isometric embeddings between bounded symmetric domains

  • Shan Tai ChanEmail author
RESEARCH
  • 69 Downloads
Part of the following topical collections:
  1. 2017 Northeast Analysis Network

Abstract

In this article, we study holomorphic isometric embeddings between bounded symmetric domains. In particular, we show the total geodesy of any holomorphic isometric embedding between reducible bounded symmetric domains with the same rank.

Keywords

Holomorphic isometries Bergman kernels Bounded symmetric domains 

Mathematics Subject Classification

Primary 53C55 32H02 32M15 

Notes

Acknowledgements

The main part of this work was done during the summer of 2017 when the author visited The University of Hong Kong and was a postdoctoral fellow at Syracuse University. The author would like to express his gratitude to Professors Ngaiming Mok and Wing-Keung To for helpful discussions on the topic of holomorphic isometric embeddings between (reducible) bounded symmetric domains.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsThe University of Hong KongHong KongPeople’s Republic of China

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