Abstract
In this paper, we study a broader type of generalized balls which are domains on the complex projective spaces with possibly Levi-degenerate boundaries. We prove rigidity theorems for proper holomorphic mappings among them by exploring the structure of the moduli spaces of projective linear subspaces, which generalize some earlier results for the ordinary generalized balls with Levi-nondegenerate boundaries.
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Acknowledgements
The authors would like to thank the referee for helpful comments. The first author was partially supported by Science and Technology Commission of Shanghai Municipality (STCSM) (No. 13dz2260400).
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Ng, SC., Zhu, Y. Rigidity of Proper Holomorphic Maps Among Generalized Balls with Levi-Degenerate Boundaries. J Geom Anal 31, 11702–11713 (2021). https://doi.org/10.1007/s12220-021-00698-x
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DOI: https://doi.org/10.1007/s12220-021-00698-x