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arXiv · 1611.04464

A non-strictly pseudoconvex domain for which the squeezing function tends to one towards the boundary

John Erik Fornæss·Erlend Fornæss Wold
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Abstract

In recent work by Zimmer it was proved that if $\Omega\subset\mathbb C^n$ is a bounded convex domain with $C^\infty$-smooth boundary, then $\Omega$ is strictly pseudoconvex provided that the squeezing function approaches one as one approaches the boundary. We show that this result fails if $\Omega$ is only assumed to be $C^2$-smooth.

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John Erik Fornæss, Erlend Fornæss Wold. 2016-11-14. A non-strictly pseudoconvex domain for which the squeezing function tends to one towards the boundary. https://doi.org/10.2140/pjm.2018.297.79

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