The complement of the closed unit ball in $\mathbb C^3$ is not subelliptic

Rafael B. Andrist; Erlend Fornaess Wold

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arXiv · 1303.1804

The complement of the closed unit ball in $\mathbb C^3$ is not subelliptic

Rafael B. Andrist·Erlend Fornaess Wold

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Abstract

In this short note we show that $\mathbb C^n\setminus\bar{\mathbb B^n}$ is not subelliptic for $n \geq 3$. This is done by proving a Hartogs type extension theorem for holomorphic vector bundles bundles.

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Rafael B. Andrist, Erlend Fornaess Wold. 2013-03-07. The complement of the closed unit ball in $\mathbb C^3$ is not subelliptic. https://arxiv.org/abs/1303.1804

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