A note on exhaustion of hyperbolic complex manifolds

Thu, Ninh; Vu, Trinh

doi:10.1090/proc/15907

A note on exhaustion of hyperbolic complex manifolds
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by Ninh Van Thu and Trinh Huy Vu

Proc. Amer. Math. Soc. 150 (2022), 2083-2093

DOI: https://doi.org/10.1090/proc/15907

Published electronically: February 17, 2022

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Abstract:

The purpose of this article is to investigate a hyperbolic complex manifold $M$ exhausted by a pseudoconvex domain $\Omega$ in $\mathbb {C}^n$ via an exhausting sequence $\{f_j\colon \Omega \to M\}$ such that $f_j^{-1}(a)$ converges to a boundary point $\xi _0 \in \partial \Omega$ for some point $a\in M$.

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