Schwarz lemma at the boundary and rigidity property for holomorphic mappings on the unit ball of ℂⁿ

Tang, Xiaomin; Liu, Taishun; Zhang, Wenjun

doi:10.1090/proc/13378

Schwarz lemma at the boundary and rigidity property for holomorphic mappings on the unit ball of $\mathbb {C}^n$
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by Xiaomin Tang, Taishun Liu and Wenjun Zhang PDF

Proc. Amer. Math. Soc. 145 (2017), 1709-1716 Request permission

Abstract:

In this paper, we first establish a new type of the classical Schwarz lemma at the boundary for holomorphic self-mappings of the unit ball in $\mathbb {C}^n$, and then give the boundary version of the rigidity theorem.

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