Exhaustion of hyperbolic complex manifolds and relations to the squeezing function

Ninh Van Thu; Trinh Huy Vu; Nguyen Quang Dieu

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arXiv · 2111.08219

Exhaustion of hyperbolic complex manifolds and relations to the squeezing function

Ninh Van Thu·Trinh Huy Vu·Nguyen Quang Dieu

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Abstract

The purpose of this article is twofold. The first aim is to characterize an $n$-dimensional hyperbolic complex manifold $M$ exhausted by a sequence $\{\Omega_j\}$ of domains in $\mathbb C^n$ via an exhausting sequence $\{f_j\colon \Omega_j\to M\}$ such that $f_j^{-1}(a)$ converges to a boundary point $\xi_0 \in \partial \Omega$ for some point $a\in M$. Then, our second aim is to show that any spherically extreme boundary point must be strongly pseudoconvex.

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BibTeX RIS

Ninh Van Thu, Trinh Huy Vu, Nguyen Quang Dieu. 2021-11-16. Exhaustion of hyperbolic complex manifolds and relations to the squeezing function. https://arxiv.org/abs/2111.08219

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