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On the Proper Holomorphic Map**s between Equidimensional Hartogs Domains over Hermitian Symmetric Manifolds

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Abstract

In this paper, we study a family of Hartogs domains fibred over Hermitian symmetric manifolds being a unit ball in ℂm. The aim of the present study is to establish the rigidity results about proper holomorphic map**s between two equidimensional Hartogs domains over Hermitian symmetric manifolds. In particular, we can fully determine its biholomorphic equivalence and automorphism group.

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Acknowledgements

The author wishes to express his sincere appreciation to all those who made suggestions for improvements to this paper.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Qingdao University, Qingdao, 266071, P. R. China

    En Chao Bi

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  1. En Chao Bi
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Correspondence to En Chao Bi.

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Conflict of Interest The authors declare no conflict of interest.

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Supported by the National Natural Science Foundation of China (Grant Nos. 12271411 and 11901327)

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Bi, E.C. On the Proper Holomorphic Map**s between Equidimensional Hartogs Domains over Hermitian Symmetric Manifolds. Acta. Math. Sin.-English Ser. 40, 1215–1228 (2024). https://doi.org/10.1007/s10114-023-2054-5

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  • DOI: https://doi.org/10.1007/s10114-023-2054-5

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