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.

中文翻译：

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具有Levi简并边界的广义球之间适当全纯映射的刚度

在本文中，我们研究了广义球的更广泛类型，这些球是可能具有Levi简并边界的复杂射影空间上的域。通过探索射影线性子空间的模空间的结构，我们证明了其中合适的全纯映象的刚性定理，这些定理推​​广了具有Levi-非简并边界的普通广义球的一些较早的结果。