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arXiv · 2209.14168

On the boundary behaviour of the squeezing function near linearly convex boundary points

Ninh Van Thu·Nguyen Thi Lan Huong·Nguyen Quang Dieu
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Abstract

The purpose of this article is twofold. The first aim is to prove that if there exist a sequence $\{\varphi_j\}\subset \mathrm{Aut}(\Omega)$ and $a\in \Omega$ such that $\lim_{j\to\infty}\varphi_j(a)=\xi_0$ and $\lim_{j\to\infty}\sigma_\Omega(\varphi_j(a))=1$, where $\xi_0$ is a linearly convex boundary point of finite type, then $\xi_0$ must be strongly pseudoconvex. Then, the second aim is to investigate the boundary behaviour of the squeezing function of a general ellipsoid.

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Ninh Van Thu, Nguyen Thi Lan Huong, Nguyen Quang Dieu. 2022-09-28. On the boundary behaviour of the squeezing function near linearly convex boundary points. https://arxiv.org/abs/2209.14168

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