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arXiv · 1009.5022

"Convex" characterization of linearly convex domains

Nikolai Nikolov·Pascal J. Thomas
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Abstract

We prove that a $C^{1,1}$-smooth bounded domain $D$ in $\C^n$ is linearly convex if and only if the convex hull of any two discs in $D$ with common center lies in $D.$

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Nikolai Nikolov, Pascal J. Thomas. 2010-09-25. "Convex" characterization of linearly convex domains. https://arxiv.org/abs/1009.5022

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