Convex characterization of linearly convex domains

Nikolai Nikolov, Pascal J. Thomas

Abstract


We prove that a $C^{1,1}$-smooth bounded domain $D$ in $\mathbf{C}^n$ 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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DOI: http://dx.doi.org/10.7146/math.scand.a-15223

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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