On global rigidity of the 𝑝-th root embedding

Chan, Shan Tai

doi:10.1090/proc/12674

On global rigidity of the $p$-th root embedding
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by Shan Tai Chan

Proc. Amer. Math. Soc. 144 (2016), 347-358

DOI: https://doi.org/10.1090/proc/12674

Published electronically: June 9, 2015

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Abstract:

We study bona fide holomorphic isometric embeddings of the unit disk $\Delta$ into polydisks $\Delta ^p$ ($p\ge 2$) with sheeting number equal to $p$ and the assumption that all component functions of such embeddings are non-constant. We prove that all such embeddings are congruent to the $p$-th root embedding.

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